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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 25200g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25200.cp1 | 25200g1 | \([0, 0, 0, -211875, 49381250]\) | \(-1947910950/823543\) | \(-444713220000000000\) | \([]\) | \(295680\) | \(2.0942\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25200g do not have complex multiplication.Modular form 25200.2.a.g
sage: E.q_eigenform(10)