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SageMath
E = EllipticCurve("fv1")
E.isogeny_class()
Elliptic curves in class 296450fv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
296450.fv1 | 296450fv1 | \([1, -1, 1, 5895, 160647]\) | \(9261/10\) | \(-24467315468750\) | \([]\) | \(1347840\) | \(1.2556\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296450fv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 296450fv do not have complex multiplication.Modular form 296450.2.a.fv
sage: E.q_eigenform(10)