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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 317400g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
317400.g1 | 317400g1 | \([0, -1, 0, 100703967, -1710629725563]\) | \(190737654201344/2245153696875\) | \(-1329453293834108587500000000\) | \([]\) | \(121651200\) | \(3.8855\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 317400g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 317400g do not have complex multiplication.Modular form 317400.2.a.g
sage: E.q_eigenform(10)