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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 30576cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30576.ch1 | 30576cy1 | \([0, 1, 0, -5896, -202252]\) | \(-47045881/8736\) | \(-4209793695744\) | \([]\) | \(46080\) | \(1.1468\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30576cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30576cy do not have complex multiplication.Modular form 30576.2.a.cy
sage: E.q_eigenform(10)