Properties

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

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

Elliptic curves in class 3696.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3696.l1 3696e1 \([0, -1, 0, -1660, -26417]\) \(-31636584484096/1331669031\) \(-21306704496\) \([]\) \(2880\) \(0.74844\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3696.l1 has rank \(1\).

Complex multiplication

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

Modular form 3696.2.a.l

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