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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 176610.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176610.p1 | 176610dc1 | \([1, 1, 0, 2972918, 3208938964]\) | \(5808824991479/12247200000\) | \(-6126617868815959200000\) | \([]\) | \(15590400\) | \(2.8649\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176610.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176610.p do not have complex multiplication.Modular form 176610.2.a.p
sage: E.q_eigenform(10)