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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 43681g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43681.b1 | 43681g1 | \([0, 0, 1, 480491, 276162202]\) | \(110592/361\) | \(-40046353257478888331\) | \([]\) | \(3421440\) | \(2.4445\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43681g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 43681g do not have complex multiplication.Modular form 43681.2.a.g
sage: E.q_eigenform(10)