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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 3696v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 3696.u1 | 3696v1 | \([0, 1, 0, 14, 11]\) | \(17643776/11319\) | \(-181104\) | \([]\) | \(288\) | \(-0.30215\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3696v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3696v do not have complex multiplication.Modular form 3696.2.a.v
sage: E.q_eigenform(10)