Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 11154n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11154.o1 | 11154n1 | \([1, 0, 1, -957389, -358913410]\) | \(703971110401/3897234\) | \(537266801622645666\) | \([]\) | \(260832\) | \(2.2449\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11154n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11154n do not have complex multiplication.Modular form 11154.2.a.n
sage: E.q_eigenform(10)