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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 126350bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126350.b1 | 126350bj1 | \([1, -1, 0, -200242, -8925584]\) | \(48317985/26068\) | \(479059385120312500\) | \([]\) | \(3628800\) | \(2.0836\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126350bj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 126350bj do not have complex multiplication.Modular form 126350.2.a.bj
sage: E.q_eigenform(10)