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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 272734.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272734.y1 | 272734y1 | \([1, -1, 0, -52586, 3827060]\) | \(23055209793/4333568\) | \(3022841013936128\) | \([]\) | \(1572480\) | \(1.6883\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272734.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 272734.y do not have complex multiplication.Modular form 272734.2.a.y
sage: E.q_eigenform(10)