Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 3696.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3696.g1 3696c1 \([0, -1, 0, 44, 847]\) \(575511296/20376279\) \(-326020464\) \([]\) \(1344\) \(0.31347\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3696.g1 has rank \(0\).

Complex multiplication

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

Modular form 3696.2.a.g

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