Properties

Label 23104ca
Number of curves $1$
Conductor $23104$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ca1")
 
E.isogeny_class()
 

Elliptic curves in class 23104ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23104.l1 23104ca1 \([0, 1, 0, -30805, -2099469]\) \(-4194304/19\) \(-14645194571776\) \([]\) \(69120\) \(1.3779\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23104ca1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23104ca do not have complex multiplication.

Modular form 23104.2.a.ca

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} + 3 q^{7} + q^{9} + 5 q^{11} - 4 q^{13} - 2 q^{15} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display