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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 206400.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.bb1 | 206400cw1 | \([0, -1, 0, 13167, 55191537]\) | \(39443120/205667667\) | \(-1316273068800000000\) | \([]\) | \(2365440\) | \(2.1557\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206400.bb do not have complex multiplication.Modular form 206400.2.a.bb
sage: E.q_eigenform(10)