Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 14994a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14994.z1 14994a1 \([1, -1, 0, -119814, 13507892]\) \(1676381427/278528\) \(31604176116301824\) \([]\) \(112896\) \(1.8873\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14994a1 has rank \(1\).

Complex multiplication

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

Modular form 14994.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{8} - q^{10} + 2 q^{11} - q^{13} + q^{16} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display