Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 3920.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3920.m1 3920b1 \([0, -1, 0, -16, 176]\) \(-196/5\) \(-12293120\) \([]\) \(576\) \(0.040994\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3920.m1 has rank \(1\).

Complex multiplication

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

Modular form 3920.2.a.m

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