Properties

Label 40425br
Number of curves $1$
Conductor $40425$
CM no
Rank $2$

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

Elliptic curves in class 40425br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40425.c1 40425br1 \([0, -1, 1, -15108, 623468]\) \(5186867200/754677\) \(55491871483125\) \([]\) \(193536\) \(1.3624\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40425br1 has rank \(2\).

Complex multiplication

The elliptic curves in class 40425br do not have complex multiplication.

Modular form 40425.2.a.br

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - q^{3} + 2 q^{4} + 2 q^{6} + q^{9} + q^{11} - 2 q^{12} - 3 q^{13} - 4 q^{16} + q^{17} - 2 q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display