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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 25215.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25215.c1 | 25215b1 | \([1, 1, 1, -1161606, 68959728]\) | \(21708480289/12301875\) | \(98229552052992901875\) | \([]\) | \(743904\) | \(2.5261\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25215.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25215.c do not have complex multiplication.Modular form 25215.2.a.c
sage: E.q_eigenform(10)