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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 38962.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38962.g1 | 38962l1 | \([1, 1, 0, -107208, 13339396]\) | \(76922876001889/833425516\) | \(1476464140550476\) | \([]\) | \(188160\) | \(1.7260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38962.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38962.g do not have complex multiplication.Modular form 38962.2.a.g
sage: E.q_eigenform(10)