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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 177870.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177870.y1 | 177870is1 | \([1, 1, 0, 56472, 509832]\) | \(1399064033279/816820200\) | \(-11627867644885800\) | \([]\) | \(1382400\) | \(1.7721\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177870.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177870.y do not have complex multiplication.Modular form 177870.2.a.y
sage: E.q_eigenform(10)