| 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 |
| 4290.q3 |
4290t1 |
4290.q |
4290t |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$17160$ |
$48$ |
$0$ |
$0.776634431$ |
$1$ |
|
$7$ |
$1152$ |
$0.039858$ |
$31824875809/8785920$ |
$0.85779$ |
$2.89137$ |
$[1, 1, 1, -66, -177]$ |
\(y^2+xy+y=x^3+x^2-66x-177\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(9, 3)]$ |
| 12870.m3 |
12870t1 |
12870.m |
12870t |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$2.420060289$ |
$1$ |
|
$5$ |
$9216$ |
$0.589165$ |
$31824875809/8785920$ |
$0.85779$ |
$3.25228$ |
$[1, -1, 0, -594, 4180]$ |
\(y^2+xy=x^3-x^2-594x+4180\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[(29, 89)]$ |
| 21450.bm3 |
21450bf1 |
21450.bm |
21450bf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$27648$ |
$0.844577$ |
$31824875809/8785920$ |
$0.85779$ |
$3.39301$ |
$[1, 0, 1, -1651, -18802]$ |
\(y^2+xy+y=x^3-1651x-18802\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[]$ |
| 34320.bu3 |
34320bt1 |
34320.bu |
34320bt |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$17160$ |
$48$ |
$0$ |
$6.887170892$ |
$1$ |
|
$1$ |
$27648$ |
$0.733006$ |
$31824875809/8785920$ |
$0.85779$ |
$3.11211$ |
$[0, 1, 0, -1056, 9204]$ |
\(y^2=x^3+x^2-1056x+9204\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(857/4, 21147/4)]$ |
| 47190.h3 |
47190h1 |
47190.h |
47190h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 11^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$6.001990672$ |
$1$ |
|
$3$ |
$138240$ |
$1.238806$ |
$31824875809/8785920$ |
$0.85779$ |
$3.58401$ |
$[1, 1, 0, -7988, 195408]$ |
\(y^2+xy=x^3+x^2-7988x+195408\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 88.12.0.?, 120.12.0.?, $\ldots$ |
$[(3208, 180060)]$ |
| 55770.s3 |
55770l1 |
55770.s |
55770l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$193536$ |
$1.322332$ |
$31824875809/8785920$ |
$0.85779$ |
$3.62094$ |
$[1, 1, 0, -11157, -332691]$ |
\(y^2+xy=x^3+x^2-11157x-332691\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 104.12.0.?, 120.12.0.?, $\ldots$ |
$[]$ |
| 64350.fb3 |
64350dy1 |
64350.fb |
64350dy |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{7} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$221184$ |
$1.393883$ |
$31824875809/8785920$ |
$0.85779$ |
$3.65169$ |
$[1, -1, 1, -14855, 507647]$ |
\(y^2+xy+y=x^3-x^2-14855x+507647\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 1144.24.0.?, 4290.6.0.?, $\ldots$ |
$[]$ |
| 102960.es3 |
102960en1 |
102960.es |
102960en |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$4.413333281$ |
$1$ |
|
$3$ |
$221184$ |
$1.282312$ |
$31824875809/8785920$ |
$0.85779$ |
$3.38699$ |
$[0, 0, 0, -9507, -258014]$ |
\(y^2=x^3-9507x-258014\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[(-30, 14)]$ |
| 137280.dr3 |
137280cr1 |
137280.dr |
137280cr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{30} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$17160$ |
$48$ |
$0$ |
$11.26120548$ |
$1$ |
|
$1$ |
$221184$ |
$1.079578$ |
$31824875809/8785920$ |
$0.85779$ |
$3.09897$ |
$[0, -1, 0, -4225, 77857]$ |
\(y^2=x^3-x^2-4225x+77857\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 1144.24.0.?, $\ldots$ |
$[(74397/14, 19980169/14)]$ |
| 137280.fs3 |
137280ea1 |
137280.fs |
137280ea |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{30} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$221184$ |
$1.079578$ |
$31824875809/8785920$ |
$0.85779$ |
$3.09897$ |
$[0, 1, 0, -4225, -77857]$ |
\(y^2=x^3+x^2-4225x-77857\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 1144.24.0.?, $\ldots$ |
$[]$ |
| 141570.fb3 |
141570x1 |
141570.fb |
141570x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{7} \cdot 5 \cdot 11^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$1.788113$ |
$31824875809/8785920$ |
$0.85779$ |
$3.80780$ |
$[1, -1, 1, -71897, -5347911]$ |
\(y^2+xy+y=x^3-x^2-71897x-5347911\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 156.12.0.?, 220.12.0.?, $\ldots$ |
$[]$ |
| 167310.ei3 |
167310bt1 |
167310.ei |
167310bt |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1548288$ |
$1.871639$ |
$31824875809/8785920$ |
$0.85779$ |
$3.83824$ |
$[1, -1, 1, -100418, 8882241]$ |
\(y^2+xy+y=x^3-x^2-100418x+8882241\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 132.12.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
| 171600.h3 |
171600ds1 |
171600.h |
171600ds |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3 \cdot 5^{7} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$3.624156246$ |
$1$ |
|
$5$ |
$663552$ |
$1.537724$ |
$31824875809/8785920$ |
$0.85779$ |
$3.49773$ |
$[0, -1, 0, -26408, 1203312]$ |
\(y^2=x^3-x^2-26408x+1203312\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[(157, 950)]$ |
| 210210.fk3 |
210210c1 |
210210.fk |
210210c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$120120$ |
$48$ |
$0$ |
$3.392988041$ |
$1$ |
|
$3$ |
$331776$ |
$1.012814$ |
$31824875809/8785920$ |
$0.85779$ |
$2.92586$ |
$[1, 0, 0, -3235, 50945]$ |
\(y^2+xy=x^3-3235x+50945\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.4, 120.12.0.?, 420.12.0.?, $\ldots$ |
$[(82, 541)]$ |
| 235950.gt3 |
235950gt1 |
235950.gt |
235950gt |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 11^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3317760$ |
$2.043526$ |
$31824875809/8785920$ |
$0.85779$ |
$3.89831$ |
$[1, 0, 0, -199713, 24825417]$ |
\(y^2+xy=x^3-199713x+24825417\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 132.12.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
| 278850.gy3 |
278850gy1 |
278850.gy |
278850gy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1.081941880$ |
$1$ |
|
$5$ |
$4644864$ |
$2.127052$ |
$31824875809/8785920$ |
$0.85779$ |
$3.92632$ |
$[1, 0, 0, -278938, -41028508]$ |
\(y^2+xy=x^3-278938x-41028508\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 156.12.0.?, 220.12.0.?, $\ldots$ |
$[(742, 12304)]$ |
| 377520.dz3 |
377520dz1 |
377520.dz |
377520dz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 3 \cdot 5 \cdot 11^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$6.651002540$ |
$1$ |
|
$1$ |
$3317760$ |
$1.931953$ |
$31824875809/8785920$ |
$0.85779$ |
$3.65137$ |
$[0, 1, 0, -127816, -12761740]$ |
\(y^2=x^3+x^2-127816x-12761740\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 88.12.0.?, 120.12.0.?, $\ldots$ |
$[(22990/3, 3450880/3)]$ |
| 411840.ba3 |
411840ba1 |
411840.ba |
411840ba |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{30} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$1.628885$ |
$31824875809/8785920$ |
$0.85779$ |
$3.34549$ |
$[0, 0, 0, -38028, 2064112]$ |
\(y^2=x^3-38028x+2064112\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[]$ |
| 411840.ga3 |
411840ga1 |
411840.ga |
411840ga |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{30} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1769472$ |
$1.628885$ |
$31824875809/8785920$ |
$0.85779$ |
$3.34549$ |
$[0, 0, 0, -38028, -2064112]$ |
\(y^2=x^3-38028x-2064112\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 446160.hc3 |
446160hc1 |
446160.hc |
446160hc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{24} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$19.09371649$ |
$1$ |
|
$1$ |
$4644864$ |
$2.015480$ |
$31824875809/8785920$ |
$0.85779$ |
$3.68153$ |
$[0, 1, 0, -178520, 20935188]$ |
\(y^2=x^3+x^2-178520x+20935188\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 104.12.0.?, 120.12.0.?, $\ldots$ |
$[(2402429247/1147, 114799671160746/1147)]$ |
