Show commands:
SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 38808.bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38808.bg1 | 38808b1 | \([0, 0, 0, -583443, -173606706]\) | \(-94517766/1331\) | \(-309302635373512704\) | \([]\) | \(387072\) | \(2.1618\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38808.bg do not have complex multiplication.Modular form 38808.2.a.bg
sage: E.q_eigenform(10)