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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 33150ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33150.cj1 | 33150ca1 | \([1, 0, 0, 95562, -4973508]\) | \(6176736766011239/4260587175000\) | \(-66571674609375000\) | \([]\) | \(345600\) | \(1.9167\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33150ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33150ca do not have complex multiplication.Modular form 33150.2.a.ca
sage: E.q_eigenform(10)