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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 91200.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91200.b1 | 91200hf1 | \([0, -1, 0, -12833, -551463]\) | \(584362240/4617\) | \(1846800000000\) | \([]\) | \(230400\) | \(1.1817\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91200.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 91200.b do not have complex multiplication.Modular form 91200.2.a.b
sage: E.q_eigenform(10)