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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 422370g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422370.g1 | 422370g1 | \([1, -1, 0, -24435, 132245271]\) | \(-361/1690\) | \(-7553534940273410010\) | \([]\) | \(11031552\) | \(2.3013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422370g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 422370g do not have complex multiplication.Modular form 422370.2.a.g
sage: E.q_eigenform(10)