Show commands:
SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 311904.ca
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 311904.ca1 | 311904ca1 | \([0, 0, 0, -8664, -329232]\) | \(-13824\) | \(-5202898071552\) | \([]\) | \(675648\) | \(1.1896\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311904.ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 311904.ca do not have complex multiplication.Modular form 311904.2.a.ca
sage: E.q_eigenform(10)