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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 31680.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31680.g1 | 31680cz1 | \([0, 0, 0, -117228, -15450352]\) | \(-7458308028872/859375\) | \(-20528640000000\) | \([]\) | \(134400\) | \(1.5813\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31680.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 31680.g do not have complex multiplication.Modular form 31680.2.a.g
sage: E.q_eigenform(10)