Properties

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

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

Elliptic curves in class 5265d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5265.a1 5265d1 \([0, 0, 1, -2253, 41158]\) \(15614290980864/1373125\) \(111223125\) \([]\) \(4896\) \(0.58492\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5265d1 has rank \(1\).

Complex multiplication

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

Modular form 5265.2.a.d

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} - q^{5} + 2 q^{10} + 4 q^{11} - q^{13} - 4 q^{16} + 7 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display