Properties

Label 3920.l
Number of curves $1$
Conductor $3920$
CM no
Rank $0$

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

Elliptic curves in class 3920.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3920.l1 3920e1 \([0, -1, 0, 10519, 1298725]\) \(12459008/78125\) \(-807072140000000\) \([]\) \(12544\) \(1.5422\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3920.l1 has rank \(0\).

Complex multiplication

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

Modular form 3920.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} - 3 q^{11} - q^{13} + q^{15} + 5 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display