Show commands:
SageMath
E = EllipticCurve("ip1")
E.isogeny_class()
Elliptic curves in class 202800ip
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 202800.d1 | 202800ip1 | \([0, -1, 0, 7887, 4594797]\) | \(351232/59319\) | \(-9162287458272000\) | \([]\) | \(1935360\) | \(1.7421\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800ip1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202800ip do not have complex multiplication.Modular form 202800.2.a.ip
sage: E.q_eigenform(10)