Properties

Label 3696.w
Number of curves $1$
Conductor $3696$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 3696.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3696.w1 3696y1 \([0, 1, 0, 14, -1057]\) \(17643776/30438639\) \(-487018224\) \([]\) \(1440\) \(0.34595\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3696.w1 has rank \(0\).

Complex multiplication

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

Modular form 3696.2.a.w

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} + q^{9} - q^{11} - q^{13} - q^{15} + 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display