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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 455175c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.c1 | 455175c1 | \([0, 0, 1, -30583425, -64882766844]\) | \(39814672384/153125\) | \(12167042556150439453125\) | \([]\) | \(63452160\) | \(3.0961\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 455175c do not have complex multiplication.Modular form 455175.2.a.c
sage: E.q_eigenform(10)