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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 476850bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
476850.bb1 | 476850bb1 | \([1, 1, 0, -33844349425, 2397249848039125]\) | \(-39334245666480232823953/14521637786211072\) | \(-1582803481916697698446668000000\) | \([]\) | \(2105671680\) | \(4.7624\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 476850bb do not have complex multiplication.Modular form 476850.2.a.bb
sage: E.q_eigenform(10)