Show commands:
SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 127680cb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 127680.eg1 | 127680cb1 | \([0, 1, 0, 75999, -6200001]\) | \(185183253170999/171032148000\) | \(-44835051405312000\) | \([]\) | \(1105920\) | \(1.8824\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 127680cb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 127680cb do not have complex multiplication.Modular form 127680.2.a.cb
sage: E.q_eigenform(10)