Show commands:
SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 9702.bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9702.bi1 | 9702bd1 | \([1, -1, 1, -27131, 1727275]\) | \(-34068278205171/10307264\) | \(-668189003328\) | \([]\) | \(20160\) | \(1.2466\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9702.bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9702.bi do not have complex multiplication.Modular form 9702.2.a.bi
sage: E.q_eigenform(10)