| 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 |
| 2093.c1 |
2093a1 |
2093.c |
2093a |
$1$ |
$1$ |
\( 7 \cdot 13 \cdot 23 \) |
\( - 7^{2} \cdot 13^{5} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7440$ |
$0.880263$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.48443$ |
$[0, 0, 1, -1531, -32312]$ |
\(y^2+y=x^3-1531x-32312\) |
598.2.0.? |
$[]$ |
| 14651.a1 |
14651n1 |
14651.a |
14651n |
$1$ |
$1$ |
\( 7^{2} \cdot 13 \cdot 23 \) |
\( - 7^{8} \cdot 13^{5} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$0.096192075$ |
$1$ |
|
$30$ |
$357120$ |
$1.853218$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.79188$ |
$[0, 0, 1, -75019, 11082930]$ |
\(y^2+y=x^3-75019x+11082930\) |
598.2.0.? |
$[(420, 7325), (1687/3, 51265/3)]$ |
| 18837.o1 |
18837c1 |
18837.o |
18837c |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 3^{6} \cdot 7^{2} \cdot 13^{5} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$104160$ |
$1.429569$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.15308$ |
$[0, 0, 1, -13779, 872417]$ |
\(y^2+y=x^3-13779x+872417\) |
598.2.0.? |
$[]$ |
| 27209.q1 |
27209n1 |
27209.q |
27209n |
$1$ |
$1$ |
\( 7 \cdot 13^{2} \cdot 23 \) |
\( - 7^{2} \cdot 13^{11} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$12.47564671$ |
$1$ |
|
$0$ |
$1249920$ |
$2.162739$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.86512$ |
$[0, 0, 1, -258739, -70988915]$ |
\(y^2+y=x^3-258739x-70988915\) |
598.2.0.? |
$[(4685113/54, 9527345335/54)]$ |
| 33488.a1 |
33488y1 |
33488.a |
33488y |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{12} \cdot 7^{2} \cdot 13^{5} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$4.321526842$ |
$1$ |
|
$2$ |
$297600$ |
$1.573410$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.08941$ |
$[0, 0, 0, -24496, 2067952]$ |
\(y^2=x^3-24496x+2067952\) |
598.2.0.? |
$[(153, 1379)]$ |
| 48139.d1 |
48139n1 |
48139.d |
48139n |
$1$ |
$1$ |
\( 7 \cdot 13 \cdot 23^{2} \) |
\( - 7^{2} \cdot 13^{5} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$4.915308536$ |
$1$ |
|
$0$ |
$3928320$ |
$2.448009$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.92517$ |
$[0, 0, 1, -809899, 393137062]$ |
\(y^2+y=x^3-809899x+393137062\) |
598.2.0.? |
$[(4255/3, 290672/3)]$ |
| 52325.n1 |
52325n1 |
52325.n |
52325n |
$1$ |
$1$ |
\( 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 5^{6} \cdot 7^{2} \cdot 13^{5} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$4.649177683$ |
$1$ |
|
$0$ |
$803520$ |
$1.684982$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.04466$ |
$[0, 0, 1, -38275, -4038969]$ |
\(y^2+y=x^3-38275x-4038969\) |
598.2.0.? |
$[(5521/2, 405765/2)]$ |
| 131859.bq1 |
131859bq1 |
131859.bq |
131859bq |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 3^{6} \cdot 7^{8} \cdot 13^{5} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4999680$ |
$2.402523$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.45792$ |
$[0, 0, 1, -675171, -299239117]$ |
\(y^2+y=x^3-675171x-299239117\) |
598.2.0.? |
$[]$ |
| 133952.a1 |
133952bp1 |
133952.a |
133952bp |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{2} \cdot 13^{5} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$0.312330750$ |
$1$ |
|
$4$ |
$595200$ |
$1.226837$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$3.25689$ |
$[0, 0, 0, -6124, -258494]$ |
\(y^2=x^3-6124x-258494\) |
598.2.0.? |
$[(179, 2093)]$ |
| 133952.cu1 |
133952bn1 |
133952.cu |
133952bn |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{6} \cdot 7^{2} \cdot 13^{5} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$595200$ |
$1.226837$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$3.25689$ |
$[0, 0, 0, -6124, 258494]$ |
\(y^2=x^3-6124x+258494\) |
598.2.0.? |
$[]$ |
| 190463.bt1 |
190463bt1 |
190463.bt |
190463bt |
$1$ |
$1$ |
\( 7^{2} \cdot 13^{2} \cdot 23 \) |
\( - 7^{8} \cdot 13^{11} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$2.133511635$ |
$1$ |
|
$0$ |
$59996160$ |
$3.135693$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$5.04677$ |
$[0, 0, 1, -12678211, 24349197759]$ |
\(y^2+y=x^3-12678211x+24349197759\) |
598.2.0.? |
$[(6097/6, 32188139/6)]$ |
| 234416.cb1 |
234416cb1 |
234416.cb |
234416cb |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{12} \cdot 7^{8} \cdot 13^{5} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14284800$ |
$2.546364$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.39008$ |
$[0, 0, 0, -1200304, -709307536]$ |
\(y^2=x^3-1200304x-709307536\) |
598.2.0.? |
$[]$ |
| 244881.l1 |
244881l1 |
244881.l |
244881l |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 3^{6} \cdot 7^{2} \cdot 13^{11} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$9.626738571$ |
$1$ |
|
$0$ |
$17498880$ |
$2.712044$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.53486$ |
$[0, 0, 1, -2328651, 1916700698]$ |
\(y^2+y=x^3-2328651x+1916700698\) |
598.2.0.? |
$[(25399/5, 3060607/5)]$ |
| 253253.r1 |
253253r1 |
253253.r |
253253r |
$1$ |
$1$ |
\( 7 \cdot 11^{2} \cdot 13 \cdot 23 \) |
\( - 7^{2} \cdot 11^{6} \cdot 13^{5} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$4.665817006$ |
$1$ |
|
$0$ |
$10044000$ |
$2.079212$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$3.91226$ |
$[0, 0, 1, -185251, 43006939]$ |
\(y^2+y=x^3-185251x+43006939\) |
598.2.0.? |
$[(12697/6, 1002439/6)]$ |
| 301392.k1 |
301392k1 |
301392.k |
301392k |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{2} \cdot 13^{5} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$8.853766758$ |
$1$ |
|
$0$ |
$4166400$ |
$2.122715$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$3.89968$ |
$[0, 0, 0, -220464, -55834704]$ |
\(y^2=x^3-220464x-55834704\) |
598.2.0.? |
$[(100201/13, 10276469/13)]$ |
| 336973.a1 |
336973a1 |
336973.a |
336973a |
$1$ |
$1$ |
\( 7^{2} \cdot 13 \cdot 23^{2} \) |
\( - 7^{8} \cdot 13^{5} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$188559360$ |
$3.420967$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$5.08950$ |
$[0, 0, 1, -39685051, -134846012352]$ |
\(y^2+y=x^3-39685051x-134846012352\) |
598.2.0.? |
$[]$ |
| 366275.bs1 |
366275bs1 |
366275.bs |
366275bs |
$1$ |
$1$ |
\( 5^{2} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 5^{6} \cdot 7^{8} \cdot 13^{5} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$38568960$ |
$2.657936$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.34166$ |
$[0, 0, 1, -1875475, 1385366281]$ |
\(y^2+y=x^3-1875475x+1385366281\) |
598.2.0.? |
$[]$ |
| 433251.bx1 |
433251bx1 |
433251.bx |
433251bx |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 13 \cdot 23^{2} \) |
\( - 3^{6} \cdot 7^{2} \cdot 13^{5} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$54996480$ |
$2.997318$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.59926$ |
$[0, 0, 1, -7289091, -10614700681]$ |
\(y^2+y=x^3-7289091x-10614700681\) |
598.2.0.? |
$[]$ |
| 435344.a1 |
435344a1 |
435344.a |
435344a |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{12} \cdot 7^{2} \cdot 13^{11} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49996800$ |
$2.855885$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$4.46684$ |
$[0, 0, 0, -4139824, 4543290544]$ |
\(y^2=x^3-4139824x+4543290544\) |
598.2.0.? |
$[]$ |
| 470925.j1 |
470925j1 |
470925.j |
470925j |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 13^{5} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$0.626632337$ |
$1$ |
|
$4$ |
$11249280$ |
$2.234287$ |
$-396870925750272/221358574619$ |
$0.94021$ |
$3.86894$ |
$[0, 0, 1, -344475, 109052156]$ |
\(y^2+y=x^3-344475x+109052156\) |
598.2.0.? |
$[(-296, 13604)]$ |
