Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 3920.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3920.d1 3920bl1 \([0, 0, 0, -7, -14]\) \(-3024/5\) \(-62720\) \([]\) \(576\) \(-0.38859\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3920.d1 has rank \(0\).

Complex multiplication

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

Modular form 3920.2.a.d

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