Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 23520.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23520.bb1 23520q1 \([0, 1, 0, -3656, 83880]\) \(-215474070728/3645\) \(-91445760\) \([]\) \(12672\) \(0.65766\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23520.bb1 has rank \(1\).

Complex multiplication

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

Modular form 23520.2.a.bb

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