Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("o1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 12696.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12696.o1 12696g1 \([0, -1, 0, 4056, -3877668]\) \(92/81\) \(-6495426363147264\) \([]\) \(88320\) \(1.7132\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12696.o1 has rank \(0\).

Complex multiplication

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

Modular form 12696.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3q^{5} + 4q^{7} + q^{9} - q^{13} - 3q^{15} + 2q^{17} + O(q^{20})\)  Toggle raw display