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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 116610c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116610.b1 | 116610c1 | \([1, 1, 0, -12678, -232812]\) | \(276301129/132480\) | \(108068005918080\) | \([]\) | \(384384\) | \(1.3866\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116610c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116610c do not have complex multiplication.Modular form 116610.2.a.c
sage: E.q_eigenform(10)