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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 121242.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.bj1 | 121242bj1 | \([1, 0, 0, -394886, -95681508]\) | \(-3843995587427449/6390046584\) | \(-11320357316397624\) | \([]\) | \(1411200\) | \(1.9763\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121242.bj do not have complex multiplication.Modular form 121242.2.a.bj
sage: E.q_eigenform(10)