Properties

Label 11916.i
Number of curves $1$
Conductor $11916$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 11916.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11916.i1 11916e1 \([0, 0, 0, 24, -83]\) \(131072/331\) \(-3860784\) \([]\) \(2592\) \(-0.052338\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11916.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11916.i do not have complex multiplication.

Modular form 11916.2.a.i

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} - 4 q^{7} + 2 q^{11} - 6 q^{13} + 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display