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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 180336cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
180336.z1 | 180336cy1 | \([0, -1, 0, -640, 6448]\) | \(98116996/39\) | \(11541504\) | \([]\) | \(39168\) | \(0.31913\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 180336cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 180336cy do not have complex multiplication.Modular form 180336.2.a.cy
sage: E.q_eigenform(10)