Properties

Label 3520.j
Number of curves $1$
Conductor $3520$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 3520.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3520.j1 3520be1 \([0, -1, 0, -13025, 576577]\) \(-7458308028872/859375\) \(-28160000000\) \([]\) \(4480\) \(1.0320\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3520.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3520.j do not have complex multiplication.

Modular form 3520.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 3 q^{7} - 2 q^{9} - q^{11} + 2 q^{13} - q^{15} + 7 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display