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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 9200b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9200.l1 | 9200b1 | \([0, -1, 0, -108, -413]\) | \(-562432/23\) | \(-5750000\) | \([]\) | \(2048\) | \(0.064600\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9200b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9200b do not have complex multiplication.Modular form 9200.2.a.b
sage: E.q_eigenform(10)