Show commands:
SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 22848.cc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 22848.cc1 | 22848bg1 | \([0, 1, 0, -934241, -348758529]\) | \(-344002044213921241/1011143540736\) | \(-265065212342697984\) | \([]\) | \(391680\) | \(2.2136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22848.cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22848.cc do not have complex multiplication.Modular form 22848.2.a.cc
sage: E.q_eigenform(10)