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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 66654.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66654.y1 | 66654y1 | \([1, -1, 0, -161973, 51732373]\) | \(-357911/672\) | \(-882363075018786144\) | \([]\) | \(883200\) | \(2.1333\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66654.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66654.y do not have complex multiplication.Modular form 66654.2.a.y
sage: E.q_eigenform(10)