Properties

Label 3680.j
Number of curves $1$
Conductor $3680$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 3680.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3680.j1 3680c1 \([0, -1, 0, -125, -523]\) \(-53157376/2875\) \(-11776000\) \([]\) \(576\) \(0.11531\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3680.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3680.j do not have complex multiplication.

Modular form 3680.2.a.j

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{5} - q^{7} + q^{9} - 2 q^{11} - 4 q^{13} + 2 q^{15} - 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display