Show commands:
SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 418950ch
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 418950.ch1 | 418950ch1 | \([1, -1, 0, 720070083, -5961829075259]\) | \(628805222251722551/597713542447104\) | \(-39248672316218608287744000000\) | \([]\) | \(442552320\) | \(4.1738\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950ch1 has rank \(0\).
Complex multiplication
The elliptic curves in class 418950ch do not have complex multiplication.Modular form 418950.2.a.ch
sage: E.q_eigenform(10)