Properties

Label 5265h
Number of curves $1$
Conductor $5265$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 5265h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5265.c1 5265h1 \([0, 0, 1, -207, 650]\) \(1345572864/528125\) \(385003125\) \([]\) \(4320\) \(0.34599\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5265h1 has rank \(2\).

Complex multiplication

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

Modular form 5265.2.a.h

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{5} - 4 q^{7} - 2 q^{10} - 5 q^{11} - q^{13} + 8 q^{14} - 4 q^{16} - 8 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display