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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 200400bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200400.i1 | 200400bb1 | \([0, -1, 0, 38552, 1255792]\) | \(12376083357091/8520062112\) | \(-4362271801344000\) | \([]\) | \(1297920\) | \(1.6896\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200400bb do not have complex multiplication.Modular form 200400.2.a.bb
sage: E.q_eigenform(10)