Show commands:
SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 348726.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.bb1 | 348726bb1 | \([1, 0, 1, -980123, 402648374]\) | \(-16983563041/1599696\) | \(-9807842168339228496\) | \([]\) | \(9324288\) | \(2.3861\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 348726.bb do not have complex multiplication.Modular form 348726.2.a.bb
sage: E.q_eigenform(10)