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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 16731g
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 16731.f1 | 16731g1 | \([0, 0, 1, -2478216, -1501730240]\) | \(-2830523957248/264627\) | \(-157365128285922843\) | \([]\) | \(244608\) | \(2.3376\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16731g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16731g do not have complex multiplication.Modular form 16731.2.a.g
sage: E.q_eigenform(10)