Properties

Label 234416j
Number of curves $1$
Conductor $234416$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 234416j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
234416.j1 234416j1 \([0, 1, 0, -20008, 2399844]\) \(-3062500/6877\) \(-1989204262269952\) \([]\) \(1059072\) \(1.6241\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 234416j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 234416j do not have complex multiplication.

Modular form 234416.2.a.j

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} + 5 q^{11} - q^{13} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display