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SageMath
E = EllipticCurve("fy1")
E.isogeny_class()
Elliptic curves in class 378560.fy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
378560.fy1 | 378560fy1 | \([0, 1, 0, -12731, -557725]\) | \(-738763264/875\) | \(-270301304000\) | \([]\) | \(449280\) | \(1.1051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 378560.fy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 378560.fy do not have complex multiplication.Modular form 378560.2.a.fy
sage: E.q_eigenform(10)