Show commands:
SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 9702.bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9702.bg1 | 9702bb1 | \([1, -1, 1, 64, -3993]\) | \(189/44\) | \(-6848583588\) | \([]\) | \(6720\) | \(0.56648\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9702.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9702.bg do not have complex multiplication.Modular form 9702.2.a.bg
sage: E.q_eigenform(10)