Properties

Label 23520.k
Number of curves $1$
Conductor $23520$
CM no
Rank $1$

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 23520.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23520.k1 23520be1 \([0, -1, 0, -3656, -83880]\) \(-215474070728/3645\) \(-91445760\) \([]\) \(12672\) \(0.65766\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23520.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23520.k do not have complex multiplication.

Modular form 23520.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + 3q^{11} + q^{13} + q^{15} - 4q^{17} - q^{19} + O(q^{20})\)  Toggle raw display