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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 185150cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185150.t1 | 185150cj1 | \([1, 0, 1, 462599, -55630052]\) | \(8947391/6272\) | \(-7674476557538000000\) | \([]\) | \(3709440\) | \(2.3122\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185150cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185150cj do not have complex multiplication.Modular form 185150.2.a.cj
sage: E.q_eigenform(10)