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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 215950.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215950.w1 | 215950f1 | \([1, -1, 1, -11730, -647353]\) | \(-11422548526761/5081260310\) | \(-79394692343750\) | \([]\) | \(516096\) | \(1.3741\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215950.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215950.w do not have complex multiplication.Modular form 215950.2.a.w
sage: E.q_eigenform(10)