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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 162288.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.y1 | 162288da1 | \([0, 0, 0, -3669099, 2705124506]\) | \(-1008050316336685251/23552\) | \(-127628476416\) | \([]\) | \(1612800\) | \(2.1045\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162288.y do not have complex multiplication.Modular form 162288.2.a.y
sage: E.q_eigenform(10)