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SageMath
E = EllipticCurve("fv1")
E.isogeny_class()
Elliptic curves in class 28224.fv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.fv1 | 28224ev1 | \([0, 0, 0, -127596, -17786608]\) | \(-1668296/27\) | \(-3718138366623744\) | \([]\) | \(193536\) | \(1.7881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.fv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28224.fv do not have complex multiplication.Modular form 28224.2.a.fv
sage: E.q_eigenform(10)