Properties

Label 23232.a
Number of curves $1$
Conductor $23232$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 23232.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23232.a1 23232dg1 \([0, -1, 0, 1775, 4831]\) \(45056/27\) \(-370412146368\) \([]\) \(31680\) \(0.90911\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23232.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23232.a do not have complex multiplication.

Modular form 23232.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} - q^{7} + q^{9} + 2 q^{13} + 4 q^{15} + 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display