Properties

Label 5265n
Number of curves $1$
Conductor $5265$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 5265n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5265.l1 5265n1 \([1, -1, 0, -24, -487]\) \(-2146689/142805\) \(-104104845\) \([]\) \(1152\) \(0.21817\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5265n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5265n do not have complex multiplication.

Modular form 5265.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{4} + q^{5} - q^{7} - 3 q^{8} + q^{10} - 2 q^{11} - q^{13} - q^{14} - q^{16} + 4 q^{17} + O(q^{20})\) Copy content Toggle raw display