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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 281775c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
281775.c1 | 281775c1 | \([0, -1, 1, -253838, 120536588]\) | \(-10372034560/29937843\) | \(-5220978276868494075\) | \([]\) | \(10340352\) | \(2.2786\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 281775c do not have complex multiplication.Modular form 281775.2.a.c
sage: E.q_eigenform(10)