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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 209814bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
209814.cp1 | 209814bj1 | \([1, 1, 1, -57577187, 168154766759]\) | \(-1708156114633/215622\) | \(-2664652326459087034422\) | \([]\) | \(22913280\) | \(3.1333\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209814bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 209814bj do not have complex multiplication.Modular form 209814.2.a.bj
sage: E.q_eigenform(10)