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SageMath
E = EllipticCurve("bj1")
E.isogeny_class()
Elliptic curves in class 9200bj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9200.g1 | 9200bj1 | \([0, 1, 0, -7333, -245037]\) | \(-5451776/23\) | \(-184000000000\) | \([]\) | \(11200\) | \(1.0162\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9200bj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9200bj do not have complex multiplication.Modular form 9200.2.a.bj
sage: E.q_eigenform(10)