Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 23104e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23104.u1 23104e1 \([0, -1, 0, -481, -7327]\) \(-722\) \(-17081434112\) \([]\) \(16128\) \(0.65586\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23104e1 has rank \(1\).

Complex multiplication

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

Modular form 23104.2.a.e

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