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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 54080.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54080.c1 | 54080di1 | \([0, 0, 0, -694252, -220947896]\) | \(44302512384/390625\) | \(326292288400000000\) | \([]\) | \(1597440\) | \(2.1841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54080.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54080.c do not have complex multiplication.Modular form 54080.2.a.c
sage: E.q_eigenform(10)