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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 397800g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.g1 | 397800g1 | \([0, 0, 0, -20779875, 36486618750]\) | \(-12603791802222/10793861\) | \(-849822264252000000000\) | \([]\) | \(23777280\) | \(2.9428\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 397800g do not have complex multiplication.Modular form 397800.2.a.g
sage: E.q_eigenform(10)