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 |
9338.i2 |
9338h3 |
9338.i |
9338h |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 7^{4} \cdot 23 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$153600$ |
$2.202221$ |
$41966336340198080824833/442001722607124848$ |
$[1, -1, 1, -723979, 235116331]$ |
\(y^2+xy+y=x^3-x^2-723979x+235116331\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 92.24.0.?, 1288.48.0.? |
$[]$ |
65366.q2 |
65366t3 |
65366.q |
65366t |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 7^{10} \cdot 23 \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1288$ |
$48$ |
$0$ |
$3.355016317$ |
$1$ |
|
$2$ |
$7372800$ |
$3.175175$ |
$41966336340198080824833/442001722607124848$ |
$[1, -1, 1, -35474956, -80573951713]$ |
\(y^2+xy+y=x^3-x^2-35474956x-80573951713\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$ |
$[(-3505, 28163)]$ |
74704.n2 |
74704s3 |
74704.n |
74704s |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{16} \cdot 7^{4} \cdot 23 \cdot 29^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$3686400$ |
$2.895367$ |
$41966336340198080824833/442001722607124848$ |
$[0, 0, 0, -11583659, -15035861542]$ |
\(y^2=x^3-11583659x-15035861542\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.z.1.4, 92.24.0.?, 1288.48.0.? |
$[]$ |
84042.f2 |
84042l3 |
84042.f |
84042l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{4} \cdot 23 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4915200$ |
$2.751526$ |
$41966336340198080824833/442001722607124848$ |
$[1, -1, 0, -6515808, -6341625136]$ |
\(y^2+xy=x^3-x^2-6515808x-6341625136\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.z.1, 92.12.0.?, $\ldots$ |
$[]$ |
214774.o2 |
214774e3 |
214774.o |
214774e |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) |
\( 2^{4} \cdot 7^{4} \cdot 23^{7} \cdot 29^{8} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$6.722932132$ |
$1$ |
|
$2$ |
$81100800$ |
$3.769970$ |
$41966336340198080824833/442001722607124848$ |
$[1, -1, 1, -382984726, -2858362494155]$ |
\(y^2+xy+y=x^3-x^2-382984726x-2858362494155\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.z.1.13, 92.24.0.?, 1288.48.0.? |
$[(-108989/3, 1765811/3)]$ |
233450.u2 |
233450u4 |
233450.u |
233450u |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{4} \cdot 5^{6} \cdot 7^{4} \cdot 23 \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6440$ |
$48$ |
$0$ |
$0.947517321$ |
$1$ |
|
$4$ |
$19660800$ |
$3.006939$ |
$41966336340198080824833/442001722607124848$ |
$[1, -1, 0, -18099467, 29371441941]$ |
\(y^2+xy=x^3-x^2-18099467x+29371441941\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0.z.1, 92.12.0.?, $\ldots$ |
$[(1190, 96961)]$ |
270802.f2 |
270802f4 |
270802.f |
270802f |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \) |
\( 2^{4} \cdot 7^{4} \cdot 23 \cdot 29^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37352$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$129024000$ |
$3.885868$ |
$41966336340198080824833/442001722607124848$ |
$[1, -1, 0, -608866076, 5729990140704]$ |
\(y^2+xy=x^3-x^2-608866076x+5729990140704\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 92.12.0.?, 116.12.0.?, $\ldots$ |
$[]$ |
298816.u2 |
298816u4 |
298816.u |
298816u |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{22} \cdot 7^{4} \cdot 23 \cdot 29^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$22.91549633$ |
$1$ |
|
$5$ |
$29491200$ |
$3.241943$ |
$41966336340198080824833/442001722607124848$ |
$[0, 0, 0, -46334636, 120286892336]$ |
\(y^2=x^3-46334636x+120286892336\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.z.1.3, 92.12.0.?, $\ldots$ |
$[(-3050, 482944), (4630, 70784)]$ |
298816.bc2 |
298816bc3 |
298816.bc |
298816bc |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{22} \cdot 7^{4} \cdot 23 \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$25.00242416$ |
$1$ |
|
$1$ |
$29491200$ |
$3.241943$ |
$41966336340198080824833/442001722607124848$ |
$[0, 0, 0, -46334636, -120286892336]$ |
\(y^2=x^3-46334636x-120286892336\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.z.1.11, 92.12.0.?, $\ldots$ |
$[(-962928642804/15107, 34299454642033504/15107)]$ |