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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 466752cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466752.cy1 | 466752cy1 | \([0, 1, 0, -150881, -47111649]\) | \(-1449073218392281/2811246362496\) | \(-736951366450151424\) | \([]\) | \(6709248\) | \(2.1181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466752cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 466752cy do not have complex multiplication.Modular form 466752.2.a.cy
sage: E.q_eigenform(10)