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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 23826.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23826.g1 | 23826f1 | \([1, 1, 0, -1473970, -1682257484]\) | \(-20852652111625/59864589312\) | \(-1016714026503926817792\) | \([]\) | \(1149120\) | \(2.7180\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23826.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23826.g do not have complex multiplication.Modular form 23826.2.a.g
sage: E.q_eigenform(10)