Properties

Label 7840f
Number of curves $1$
Conductor $7840$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 7840f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7840.c1 7840f1 \([0, 1, 0, -16, -36]\) \(-19208/5\) \(-125440\) \([]\) \(672\) \(-0.30468\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7840f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7840f do not have complex multiplication.

Modular form 7840.2.a.f

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