Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
210.a1 |
210d3 |
210.a |
210d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2 \cdot 3^{4} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$0.532646580$ |
$1$ |
|
$6$ |
$64$ |
$0.013583$ |
$5763259856089/5670$ |
$0.98492$ |
$5.49503$ |
$[1, 1, 0, -373, 2623]$ |
\(y^2+xy=x^3+x^2-373x+2623\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 140.12.0.?, $\ldots$ |
$[(13, 7)]$ |
210.a2 |
210d2 |
210.a |
210d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$0.266323290$ |
$1$ |
|
$20$ |
$32$ |
$-0.332991$ |
$1439069689/44100$ |
$0.92114$ |
$3.94368$ |
$[1, 1, 0, -23, 33]$ |
\(y^2+xy=x^3+x^2-23x+33\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 140.12.0.?, $\ldots$ |
$[(4, 3)]$ |
210.a3 |
210d1 |
210.a |
210d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$0.532646580$ |
$1$ |
|
$7$ |
$16$ |
$-0.679564$ |
$4826809/1680$ |
$1.01603$ |
$2.87813$ |
$[1, 1, 0, -3, -3]$ |
\(y^2+xy=x^3+x^2-3x-3\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[(2, 1)]$ |
210.a4 |
210d4 |
210.a |
210d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2 \cdot 3 \cdot 5^{4} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$0.532646580$ |
$1$ |
|
$6$ |
$64$ |
$0.013583$ |
$30080231/9003750$ |
$1.02840$ |
$4.38853$ |
$[1, 1, 0, 7, 147]$ |
\(y^2+xy=x^3+x^2+7x+147\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[(1, 12)]$ |
210.b1 |
210b7 |
210.b |
210b |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3 \cdot 5^{4} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.8, 3.8.0.2 |
2B, 3B.1.2 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$1.502266$ |
$4791901410190533590281/41160000$ |
$1.06333$ |
$9.33612$ |
$[1, 0, 1, -351233, -80149132]$ |
\(y^2+xy+y=x^3-351233x-80149132\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.12.0-4.c.1.2, 6.24.0-6.a.1.2, 12.96.0-12.c.4.6, $\ldots$ |
$[]$ |
210.b2 |
210b6 |
210.b |
210b |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$420$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$576$ |
$1.155691$ |
$1169975873419524361/108425318400$ |
$1.03966$ |
$7.78056$ |
$[1, 0, 1, -21953, -1253644]$ |
\(y^2+xy+y=x^3-21953x-1253644\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 4.12.0-2.a.1.1, 6.48.0-6.a.1.2, 12.96.0-12.a.2.15, $\ldots$ |
$[]$ |
210.b3 |
210b8 |
210.b |
210b |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{4} \cdot 5 \cdot 7^{12} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.2 |
2B, 3B.1.2 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$1152$ |
$1.502266$ |
$-932348627918877961/358766164249920$ |
$1.04500$ |
$7.83344$ |
$[1, 0, 1, -20353, -1443724]$ |
\(y^2+xy+y=x^3-20353x-1443724\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.12.0-4.c.1.1, 6.24.0-6.a.1.2, 12.96.0-12.c.2.8, $\ldots$ |
$[]$ |
210.b4 |
210b4 |
210.b |
210b |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{12} \cdot 7 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.8, 3.8.0.1 |
2B, 3B.1.1 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$384$ |
$0.952959$ |
$9150443179640281/184570312500$ |
$1.02214$ |
$6.87336$ |
$[1, 0, 1, -4358, -109132]$ |
\(y^2+xy+y=x^3-4358x-109132\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.12.0-4.c.1.2, 6.24.0-6.a.1.4, 12.96.0-12.c.3.7, $\ldots$ |
$[]$ |
210.b5 |
210b3 |
210.b |
210b |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{24} \cdot 3 \cdot 5 \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.6, 3.8.0.2 |
2B, 3B.1.2 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$288$ |
$0.809118$ |
$353108405631241/86318776320$ |
$1.01547$ |
$6.26466$ |
$[1, 0, 1, -1473, -16652]$ |
\(y^2+xy+y=x^3-1473x-16652\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
210.b6 |
210b2 |
210.b |
210b |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$420$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$10$ |
$192$ |
$0.606385$ |
$21302308926361/8930250000$ |
$1.01362$ |
$5.73952$ |
$[1, 0, 1, -578, 2756]$ |
\(y^2+xy+y=x^3-578x+2756\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 4.12.0-2.a.1.1, 6.48.0-6.a.1.1, 12.96.0-12.a.1.7, $\ldots$ |
$[]$ |
210.b7 |
210b1 |
210.b |
210b |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 7 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.6, 3.8.0.1 |
2B, 3B.1.1 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$5$ |
$96$ |
$0.259812$ |
$13619385906841/6048000$ |
$0.98997$ |
$5.65586$ |
$[1, 0, 1, -498, 4228]$ |
\(y^2+xy+y=x^3-498x+4228\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
210.b8 |
210b5 |
210.b |
210b |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{2} \cdot 3^{12} \cdot 5^{3} \cdot 7^{4} \) |
$0$ |
$\Z/12\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$10$ |
$384$ |
$0.952959$ |
$785793873833639/637994920500$ |
$1.03472$ |
$6.41426$ |
$[1, 0, 1, 1922, 20756]$ |
\(y^2+xy+y=x^3+1922x+20756\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.12.0-4.c.1.1, 6.24.0-6.a.1.4, 12.96.0-12.c.1.8, $\ldots$ |
$[]$ |
210.c1 |
210c5 |
210.c |
210c |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.43 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$256$ |
$0.736757$ |
$524388516989299201/3150$ |
$1.03693$ |
$7.63048$ |
$[1, 1, 1, -16800, -845133]$ |
\(y^2+xy+y=x^3+x^2-16800x-845133\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.e.1.6, 56.48.0-56.bh.1.7, $\ldots$ |
$[]$ |
210.c2 |
210c3 |
210.c |
210c |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.32 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$128$ |
$0.390184$ |
$128031684631201/9922500$ |
$1.00206$ |
$6.07493$ |
$[1, 1, 1, -1050, -13533]$ |
\(y^2+xy+y=x^3+x^2-1050x-13533\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.2.4, 56.96.0-56.n.1.2, 120.96.0.?, $\ldots$ |
$[]$ |
210.c3 |
210c6 |
210.c |
210c |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2 \cdot 3^{8} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.176 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$256$ |
$0.736757$ |
$-104094944089921/35880468750$ |
$1.00819$ |
$6.12361$ |
$[1, 1, 1, -980, -15325]$ |
\(y^2+xy+y=x^3+x^2-980x-15325\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 56.96.0-56.bn.1.4, 240.96.0.?, $\ldots$ |
$[]$ |
210.c4 |
210c4 |
210.c |
210c |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.161 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$128$ |
$0.390184$ |
$5602762882081/345888060$ |
$0.98661$ |
$5.48975$ |
$[1, 1, 1, -370, 2435]$ |
\(y^2+xy+y=x^3+x^2-370x+2435\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 60.24.0-60.h.1.3, 112.96.0.?, $\ldots$ |
$[]$ |
210.c5 |
210c2 |
210.c |
210c |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.25 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$64$ |
$0.043610$ |
$37966934881/8643600$ |
$0.95916$ |
$4.55573$ |
$[1, 1, 1, -70, -205]$ |
\(y^2+xy+y=x^3+x^2-70x-205\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 56.96.0-56.r.1.6, 60.48.0-60.c.1.7, $\ldots$ |
$[]$ |
210.c6 |
210c1 |
210.c |
210c |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.32 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$32$ |
$-0.302963$ |
$109902239/188160$ |
$0.92835$ |
$3.58834$ |
$[1, 1, 1, 10, -13]$ |
\(y^2+xy+y=x^3+x^2+10x-13\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.e.2.7, 30.6.0.a.1, $\ldots$ |
$[]$ |
210.d1 |
210a7 |
210.d |
210a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2 \cdot 3 \cdot 5^{3} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.8, 3.8.0.2 |
2B, 3B.1.2 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$1.199026$ |
$29689921233686449/10380965400750$ |
$1.03940$ |
$7.09348$ |
$[1, 0, 0, -6451, 124931]$ |
\(y^2+xy=x^3-6451x+124931\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.4, $\ldots$ |
$[]$ |
210.d2 |
210a4 |
210.d |
210a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 7^{4} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.8, 3.8.0.1 |
2B, 3B.1.1 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$192$ |
$0.649720$ |
$21145699168383889/2593080$ |
$1.02503$ |
$7.03001$ |
$[1, 0, 0, -5761, 167825]$ |
\(y^2+xy=x^3-5761x+167825\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.4, $\ldots$ |
$[]$ |
210.d3 |
210a6 |
210.d |
210a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$288$ |
$0.852452$ |
$2179252305146449/66177562500$ |
$1.01629$ |
$6.60502$ |
$[1, 0, 0, -2701, -52819]$ |
\(y^2+xy=x^3-2701x-52819\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 8.12.0-2.a.1.1, 24.96.0-24.o.2.31, $\ldots$ |
$[]$ |
210.d4 |
210a3 |
210.d |
210a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.12, 3.8.0.2 |
2B, 3B.1.2 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$144$ |
$0.505878$ |
$2131200347946769/2058000$ |
$1.01540$ |
$6.60085$ |
$[1, 0, 0, -2681, -53655]$ |
\(y^2+xy=x^3-2681x-53655\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.2, $\ldots$ |
$[]$ |
210.d5 |
210a2 |
210.d |
210a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$10$ |
$96$ |
$0.303146$ |
$5203798902289/57153600$ |
$1.07097$ |
$5.47593$ |
$[1, 0, 0, -361, 2585]$ |
\(y^2+xy=x^3-361x+2585\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 8.12.0-2.a.1.1, 24.96.0-24.o.1.15, $\ldots$ |
$[]$ |
210.d6 |
210a5 |
210.d |
210a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{3} \cdot 3^{12} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$192$ |
$0.649720$ |
$-58818484369/18600435000$ |
$1.16201$ |
$5.81679$ |
$[1, 0, 0, -81, 6561]$ |
\(y^2+xy=x^3-81x+6561\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.3, $\ldots$ |
$[]$ |
210.d7 |
210a1 |
210.d |
210a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.12, 3.8.0.1 |
2B, 3B.1.1 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$5$ |
$48$ |
$-0.043427$ |
$7633736209/3870720$ |
$0.97808$ |
$4.25573$ |
$[1, 0, 0, -41, -39]$ |
\(y^2+xy=x^3-41x-39\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.2, $\ldots$ |
$[]$ |
210.d8 |
210a8 |
210.d |
210a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2 \cdot 3^{4} \cdot 5^{12} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.7, 3.8.0.2 |
2B, 3B.1.2 |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$1.199026$ |
$42841933504271/13565917968750$ |
$1.08765$ |
$7.04895$ |
$[1, 0, 0, 729, -176985]$ |
\(y^2+xy=x^3+729x-176985\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.3, $\ldots$ |
$[]$ |
210.e1 |
210e7 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.149 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$0$ |
$2048$ |
$1.794430$ |
$783736670177727068275201/360150$ |
$1.07467$ |
$10.28937$ |
$[1, 0, 0, -1920800, -1024800150]$ |
\(y^2+xy=x^3-1920800x-1024800150\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 16.96.0-16.v.2.5, 24.96.0-24.bl.2.7, $\ldots$ |
$[]$ |
210.e2 |
210e5 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.60 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$2$ |
$1024$ |
$1.447855$ |
$191342053882402567201/129708022500$ |
$1.05504$ |
$8.73380$ |
$[1, 0, 0, -120050, -16020000]$ |
\(y^2+xy=x^3-120050x-16020000\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.l.1.1, 24.192.1-24.ch.1.1, 80.192.2.?, $\ldots$ |
$[]$ |
210.e3 |
210e8 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2 \cdot 3 \cdot 5^{2} \cdot 7^{16} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.149 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$0$ |
$2048$ |
$1.794430$ |
$-187778242790732059201/4984939585440150$ |
$1.05547$ |
$8.73868$ |
$[1, 0, 0, -119300, -16229850]$ |
\(y^2+xy=x^3-119300x-16229850\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 16.96.0-16.v.2.5, 24.96.0-24.bp.2.7, $\ldots$ |
$[]$ |
210.e4 |
210e4 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.95 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$512$ |
$1.101282$ |
$378499465220294881/120530818800$ |
$1.03580$ |
$7.56951$ |
$[1, 0, 0, -15070, 710612]$ |
\(y^2+xy=x^3-15070x+710612\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.v.1.2, 28.24.0-28.h.1.2, $\ldots$ |
$[]$ |
210.e5 |
210e3 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.2 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$512$ |
$1.101282$ |
$47595748626367201/1215506250000$ |
$1.02882$ |
$7.18174$ |
$[1, 0, 0, -7550, -247500]$ |
\(y^2+xy=x^3-7550x-247500\) |
2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.c.1.1, 24.192.1-24.w.2.5, 56.192.1-56.x.1.1, $\ldots$ |
$[]$ |
210.e6 |
210e2 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.40 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$14$ |
$256$ |
$0.754708$ |
$135487869158881/51438240000$ |
$1.01910$ |
$6.08552$ |
$[1, 0, 0, -1070, 7812]$ |
\(y^2+xy=x^3-1070x+7812\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.l.2.2, 28.48.0-28.c.1.1, 48.192.1-48.f.2.3, $\ldots$ |
$[]$ |
210.e7 |
210e1 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.95 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$7$ |
$128$ |
$0.408135$ |
$1023887723039/928972800$ |
$0.99981$ |
$5.17189$ |
$[1, 0, 0, 210, 900]$ |
\(y^2+xy=x^3+210x+900\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 14.6.0.b.1, 16.96.0-16.v.1.2, $\ldots$ |
$[]$ |
210.e8 |
210e6 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{16} \cdot 7^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.25 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$1024$ |
$1.447855$ |
$226523624554079/269165039062500$ |
$1.10831$ |
$7.60796$ |
$[1, 0, 0, 1270, -789048]$ |
\(y^2+xy=x^3+1270x-789048\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 8.48.0-8.q.1.2, 16.96.0-16.j.1.2, 24.96.0-24.be.1.9, $\ldots$ |
$[]$ |