Properties

Label 7840.v
Number of curves $1$
Conductor $7840$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 7840.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7840.v1 7840s1 \([0, -1, 0, -16, 36]\) \(-19208/5\) \(-125440\) \([]\) \(672\) \(-0.30468\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7840.v1 has rank \(1\).

Complex multiplication

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

Modular form 7840.2.a.v

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