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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 215950g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215950.u1 | 215950g1 | \([1, -1, 1, -216255, -38653753]\) | \(-71581414466974329/431900000\) | \(-6748437500000\) | \([]\) | \(998400\) | \(1.6496\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215950g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215950g do not have complex multiplication.Modular form 215950.2.a.g
sage: E.q_eigenform(10)