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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 215950x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215950.i1 | 215950x1 | \([1, -1, 0, -32417, -3380009]\) | \(-241118029063521/177844110850\) | \(-2778814232031250\) | \([]\) | \(1259520\) | \(1.6628\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215950x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215950x do not have complex multiplication.Modular form 215950.2.a.x
sage: E.q_eigenform(10)