Properties

Label 12696.l
Number of curves $1$
Conductor $12696$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 12696.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12696.l1 12696c1 \([0, -1, 0, -4850577, 4114201653]\) \(-1190106112/243\) \(-2577060409578676992\) \([]\) \(485760\) \(2.5302\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12696.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 12696.l do not have complex multiplication.

Modular form 12696.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2q^{5} + q^{7} + q^{9} - 6q^{11} - 7q^{13} - 2q^{15} - 2q^{17} + O(q^{20})\)  Toggle raw display