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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 206910bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206910.ff1 | 206910bb1 | \([1, -1, 1, -51932, 4876831]\) | \(-11993263569/972800\) | \(-1256340040243200\) | \([]\) | \(1576960\) | \(1.6435\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206910bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206910bb do not have complex multiplication.Modular form 206910.2.a.bb
sage: E.q_eigenform(10)