Properties

Label 3920.i
Number of curves $1$
Conductor $3920$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 3920.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3920.i1 3920n1 \([0, 1, 0, -240, 1588]\) \(-15298178/3125\) \(-313600000\) \([]\) \(1440\) \(0.35259\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3920.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3920.i do not have complex multiplication.

Modular form 3920.2.a.i

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