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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 3648.bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3648.bj1 | 3648bj1 | \([0, 1, 0, -229, -1597]\) | \(-81415168/13851\) | \(-226934784\) | \([]\) | \(1536\) | \(0.32990\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3648.bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3648.bj do not have complex multiplication.Modular form 3648.2.a.bj
sage: E.q_eigenform(10)