Properties

Label 24255br
Number of curves $1$
Conductor $24255$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("br1")
 
E.isogeny_class()
 

Elliptic curves in class 24255br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24255.bk1 24255br1 \([0, 0, 1, 240198, 23640160]\) \(17869652393984/13156171875\) \(-1128353828928046875\) \([]\) \(301056\) \(2.1522\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24255br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 24255br do not have complex multiplication.

Modular form 24255.2.a.br

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