Show commands:
SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 338130.cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.cj1 | 338130cj1 | \([1, -1, 1, -11401538, 14826394977]\) | \(-32232581852761/13646880\) | \(-69398849710990444320\) | \([]\) | \(27417600\) | \(2.7681\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130.cj do not have complex multiplication.Modular form 338130.2.a.cj
sage: E.q_eigenform(10)