Show commands:
SageMath
E = EllipticCurve("gb1")
E.isogeny_class()
Elliptic curves in class 207936gb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 207936.eu1 | 207936gb1 | \([0, 0, 0, -108300, -19644176]\) | \(-31250/19\) | \(-85410774742597632\) | \([]\) | \(1382400\) | \(1.9509\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207936gb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 207936gb do not have complex multiplication.Modular form 207936.2.a.gb
sage: E.q_eigenform(10)