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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 110946.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110946.y1 | 110946x1 | \([1, 1, 1, -1101, -76605]\) | \(-87809723329/1439268864\) | \(-2419410960384\) | \([]\) | \(181440\) | \(1.0575\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110946.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110946.y do not have complex multiplication.Modular form 110946.2.a.y
sage: E.q_eigenform(10)