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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 142956bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142956.bj1 | 142956bj1 | \([0, 0, 0, 2798472, -627495615]\) | \(330349805568/214358881\) | \(-1572729509748261796272\) | \([]\) | \(6435072\) | \(2.7561\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142956bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142956bj do not have complex multiplication.Modular form 142956.2.a.bj
sage: E.q_eigenform(10)