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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 372232.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372232.g1 | 372232g1 | \([0, -1, 0, -8188, 289685]\) | \(-157216000/1127\) | \(-435248644208\) | \([]\) | \(497664\) | \(1.0657\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372232.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 372232.g do not have complex multiplication.Modular form 372232.2.a.g
sage: E.q_eigenform(10)