Properties

Label 14994u
Number of curves $1$
Conductor $14994$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 14994u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14994.l1 14994u1 \([1, -1, 0, -765, 8329]\) \(1387087009/1836\) \(65583756\) \([]\) \(6912\) \(0.40620\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14994u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14994u do not have complex multiplication.

Modular form 14994.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} + 5 q^{13} + q^{16} - q^{17} + O(q^{20})\) Copy content Toggle raw display