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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 116610.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116610.n1 | 116610t1 | \([1, 1, 0, 49163, 7861261]\) | \(77756791817934671/202148437500000\) | \(-34163085937500000\) | \([]\) | \(1238400\) | \(1.8562\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116610.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116610.n do not have complex multiplication.Modular form 116610.2.a.n
sage: E.q_eigenform(10)