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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 92575bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92575.n1 | 92575bb1 | \([0, 1, 1, -4540583, -3725897006]\) | \(-35806478336/3703\) | \(-1070658001888671875\) | \([]\) | \(1436160\) | \(2.4921\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92575bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92575bb do not have complex multiplication.Modular form 92575.2.a.bb
sage: E.q_eigenform(10)