Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 14994w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14994.r1 14994w1 \([1, -1, 0, 495, -4131]\) \(53582633/58752\) \(-14690761344\) \([]\) \(10752\) \(0.63743\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14994w1 has rank \(1\).

Complex multiplication

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

Modular form 14994.2.a.w

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