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SageMath
E = EllipticCurve("fv1")
E.isogeny_class()
Elliptic curves in class 299200.fv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
299200.fv1 | 299200fv1 | \([0, 1, 0, 7967, -343937]\) | \(13651919/20570\) | \(-84254720000000\) | \([]\) | \(589824\) | \(1.3574\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 299200.fv1 has rank \(2\).
Complex multiplication
The elliptic curves in class 299200.fv do not have complex multiplication.Modular form 299200.2.a.fv
sage: E.q_eigenform(10)