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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 249090y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
249090.y1 | 249090y1 | \([1, 1, 0, -895287, -865695339]\) | \(-1686901403185921/5899500000000\) | \(-277547174959500000000\) | \([]\) | \(12441600\) | \(2.6087\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 249090y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 249090y do not have complex multiplication.Modular form 249090.2.a.y
sage: E.q_eigenform(10)