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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 255512c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
255512.c1 | 255512c1 | \([0, -1, 0, -14008, -909172]\) | \(-31250/19\) | \(-184836056225792\) | \([]\) | \(544000\) | \(1.4396\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 255512c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 255512c do not have complex multiplication.Modular form 255512.2.a.c
sage: E.q_eigenform(10)