Properties

Label 11760.j
Number of curves $1$
Conductor $11760$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 11760.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11760.j1 11760a1 \([0, -1, 0, 719, -8819]\) \(3272428544/4428675\) \(-55553299200\) \([]\) \(8448\) \(0.74747\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11760.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 11760.j do not have complex multiplication.

Modular form 11760.2.a.j

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