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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 9200bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9200.bg1 | 9200bf1 | \([0, -1, 0, -293, -1843]\) | \(-5451776/23\) | \(-11776000\) | \([]\) | \(2240\) | \(0.21144\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9200bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9200bf do not have complex multiplication.Modular form 9200.2.a.bf
sage: E.q_eigenform(10)