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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
5610.bf1 |
5610bj4 |
5610.bf |
5610bj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$7480$ |
$48$ |
$0$ |
$0.533955791$ |
$1$ |
|
$8$ |
$20480$ |
$1.282690$ |
$66692696957462376289/1322972640$ |
$[1, 0, 0, -84486, 9444996]$ |
\(y^2+xy=x^3-84486x+9444996\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 136.24.0.?, 220.12.0.?, $\ldots$ |
$[(168, -78)]$ |
16830.t1 |
16830z3 |
16830.t |
16830z |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{5} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$4.665765013$ |
$4$ |
$2$ |
$2$ |
$163840$ |
$1.831997$ |
$66692696957462376289/1322972640$ |
$[1, -1, 0, -760374, -255014892]$ |
\(y^2+xy=x^3-x^2-760374x-255014892\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 136.12.0.?, 408.24.0.?, $\ldots$ |
$[(1303, 30416)]$ |
28050.v1 |
28050k4 |
28050.v |
28050k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{7} \cdot 11 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7480$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$491520$ |
$2.087410$ |
$66692696957462376289/1322972640$ |
$[1, 1, 0, -2112150, 1180624500]$ |
\(y^2+xy=x^3+x^2-2112150x+1180624500\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 44.12.0-4.c.1.1, 136.12.0.?, $\ldots$ |
$[]$ |
44880.r1 |
44880bh4 |
44880.r |
44880bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{17} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$7480$ |
$48$ |
$0$ |
$9.250728032$ |
$1$ |
|
$1$ |
$491520$ |
$1.975838$ |
$66692696957462376289/1322972640$ |
$[0, -1, 0, -1351776, -604479744]$ |
\(y^2=x^3-x^2-1351776x-604479744\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 136.24.0.?, 220.12.0.?, $\ldots$ |
$[(-821806/35, 53222/35)]$ |
61710.bd1 |
61710ba4 |
61710.bd |
61710ba |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11^{7} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7480$ |
$48$ |
$0$ |
$9.570013133$ |
$4$ |
$2$ |
$0$ |
$2457600$ |
$2.481640$ |
$66692696957462376289/1322972640$ |
$[1, 0, 1, -10222809, -12581512484]$ |
\(y^2+xy+y=x^3-10222809x-12581512484\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 136.12.0.?, $\ldots$ |
$[(182540/7, 10413381/7)]$ |
84150.gw1 |
84150fi4 |
84150.gw |
84150fi |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{5} \cdot 3^{8} \cdot 5^{7} \cdot 11 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3932160$ |
$2.636715$ |
$66692696957462376289/1322972640$ |
$[1, -1, 1, -19009355, -31895870853]$ |
\(y^2+xy+y=x^3-x^2-19009355x-31895870853\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 132.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
95370.cu1 |
95370co4 |
95370.cu |
95370co |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$7480$ |
$48$ |
$0$ |
$4.238245738$ |
$1$ |
|
$2$ |
$5898240$ |
$2.699299$ |
$66692696957462376289/1322972640$ |
$[1, 1, 1, -24416460, 46427681805]$ |
\(y^2+xy+y=x^3+x^2-24416460x+46427681805\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 136.24.0.?, 440.24.0.?, $\ldots$ |
$[(2865, -271)]$ |
134640.ft1 |
134640bm3 |
134640.ft |
134640bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{17} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$7.424180371$ |
$1$ |
|
$1$ |
$3932160$ |
$2.525143$ |
$66692696957462376289/1322972640$ |
$[0, 0, 0, -12165987, 16333119074]$ |
\(y^2=x^3-12165987x+16333119074\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 136.12.0.?, 408.24.0.?, $\ldots$ |
$[(99010/7, 182034/7)]$ |
179520.cb1 |
179520gq3 |
179520.cb |
179520gq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{23} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$7480$ |
$48$ |
$0$ |
$6.762295340$ |
$1$ |
|
$5$ |
$3932160$ |
$2.322411$ |
$66692696957462376289/1322972640$ |
$[0, -1, 0, -5407105, 4841245057]$ |
\(y^2=x^3-x^2-5407105x+4841245057\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 136.24.0.?, 440.24.0.?, 7480.48.0.? |
$[(1872, 35719)]$ |
179520.ik1 |
179520y4 |
179520.ik |
179520y |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{23} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$7480$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$3932160$ |
$2.322411$ |
$66692696957462376289/1322972640$ |
$[0, 1, 0, -5407105, -4841245057]$ |
\(y^2=x^3+x^2-5407105x-4841245057\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 136.24.0.?, 440.24.0.?, 7480.48.0.? |
$[]$ |
185130.fq1 |
185130v3 |
185130.fq |
185130v |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{5} \cdot 3^{8} \cdot 5 \cdot 11^{7} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19660800$ |
$3.030945$ |
$66692696957462376289/1322972640$ |
$[1, -1, 1, -92005277, 339700837061]$ |
\(y^2+xy+y=x^3-x^2-92005277x+339700837061\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 136.12.0.?, 264.12.0.?, $\ldots$ |
$[]$ |
224400.ep1 |
224400bh4 |
224400.ep |
224400bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{7} \cdot 11 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7480$ |
$48$ |
$0$ |
$7.413776531$ |
$1$ |
|
$1$ |
$11796480$ |
$2.780556$ |
$66692696957462376289/1322972640$ |
$[0, 1, 0, -33794408, -75627556812]$ |
\(y^2=x^3+x^2-33794408x-75627556812\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 44.12.0-4.c.1.2, 136.12.0.?, $\ldots$ |
$[(35413/2, 4519671/2)]$ |
274890.ep1 |
274890ep4 |
274890.ep |
274890ep |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 11 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$52360$ |
$48$ |
$0$ |
$2.838275917$ |
$4$ |
$2$ |
$6$ |
$5898240$ |
$2.255646$ |
$66692696957462376289/1322972640$ |
$[1, 1, 1, -4139815, -3243773443]$ |
\(y^2+xy+y=x^3+x^2-4139815x-3243773443\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 136.12.0.?, 440.12.0.?, $\ldots$ |
$[(-1175, 588)]$ |
286110.bq1 |
286110bq4 |
286110.bq |
286110bq |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{5} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$21.60934508$ |
$4$ |
$2$ |
$0$ |
$47185920$ |
$3.248604$ |
$66692696957462376289/1322972640$ |
$[1, -1, 0, -219748140, -1253767156880]$ |
\(y^2+xy=x^3-x^2-219748140x-1253767156880\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 136.12.0.?, 408.24.0.?, $\ldots$ |
$[(5961694433/392, 418833716258467/392)]$ |
308550.fj1 |
308550fj4 |
308550.fj |
308550fj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{7} \cdot 11^{7} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$7480$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$58982400$ |
$3.286358$ |
$66692696957462376289/1322972640$ |
$[1, 1, 1, -255570213, -1572689060469]$ |
\(y^2+xy+y=x^3+x^2-255570213x-1572689060469\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 136.24.0.?, 440.24.0.?, 7480.48.0.? |
$[]$ |
476850.dc1 |
476850dc3 |
476850.dc |
476850dc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{7} \cdot 11 \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7480$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$141557760$ |
$3.504017$ |
$66692696957462376289/1322972640$ |
$[1, 0, 1, -610411501, 5804681048648]$ |
\(y^2+xy+y=x^3-610411501x+5804681048648\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 88.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
493680.f1 |
493680f3 |
493680.f |
493680f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{17} \cdot 3^{2} \cdot 5 \cdot 11^{7} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7480$ |
$48$ |
$0$ |
$1.552554421$ |
$1$ |
|
$5$ |
$58982400$ |
$3.174786$ |
$66692696957462376289/1322972640$ |
$[0, -1, 0, -163564936, 805216798960]$ |
\(y^2=x^3-x^2-163564936x+805216798960\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 88.12.0.?, 136.12.0.?, $\ldots$ |
$[(7924, 81312)]$ |