Properties

Label 3696.v
Number of curves $1$
Conductor $3696$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 3696.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3696.v1 3696l1 \([0, 1, 0, -236, 1323]\) \(-91238612224/251559\) \(-4024944\) \([]\) \(576\) \(0.14048\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3696.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3696.v do not have complex multiplication.

Modular form 3696.2.a.v

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} + q^{9} + q^{11} - 3 q^{13} - q^{15} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display