Properties

Label 74382br
Number of curves $1$
Conductor $74382$
CM no
Rank $1$

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

Elliptic curves in class 74382br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
74382.bk1 74382br1 \([1, 0, 0, -62035, 27867461]\) \(-224412099736609/2722801160772\) \(-320334833763665028\) \([]\) \(1645056\) \(2.0408\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 74382br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 74382br do not have complex multiplication.

Modular form 74382.2.a.br

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 4 q^{5} + q^{6} + q^{8} + q^{9} - 4 q^{10} - q^{11} + q^{12} + q^{13} - 4 q^{15} + q^{16} - 7 q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display