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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 76230v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 76230.b1 | 76230v1 | \([1, -1, 0, -1383577245, -19808311785179]\) | \(-15491003951990952121/75014100000\) | \(-1418395298253406218900000\) | \([]\) | \(39916800\) | \(3.8348\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76230v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76230v do not have complex multiplication.Modular form 76230.2.a.v
sage: E.q_eigenform(10)