Properties

Label 46090.q
Number of curves $1$
Conductor $46090$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 46090.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46090.q1 46090n1 \([1, -1, 1, -1072, -9581]\) \(136121964359121/36872000000\) \(36872000000\) \([]\) \(50112\) \(0.73553\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46090.q1 has rank \(2\).

Complex multiplication

The elliptic curves in class 46090.q do not have complex multiplication.

Modular form 46090.2.a.q

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} - 4 q^{7} + q^{8} - 3 q^{9} + q^{10} + q^{11} - 7 q^{13} - 4 q^{14} + q^{16} - 3 q^{17} - 3 q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display