Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 7840.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7840.p1 7840d1 \([0, 1, 0, -72781, -13137125]\) \(-88478050816/102942875\) \(-49607173328384000\) \([]\) \(64512\) \(1.8977\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7840.p1 has rank \(0\).

Complex multiplication

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

Modular form 7840.2.a.p

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