Properties

Label 145794bk
Number of curves $1$
Conductor $145794$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 145794bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
145794.g1 145794bk1 \([1, 1, 0, -305081722, -2051167212908]\) \(-59702662883209/278784\) \(-14663796481233644380416\) \([]\) \(42448896\) \(3.4559\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 145794bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 145794bk do not have complex multiplication.

Modular form 145794.2.a.bk

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - 4 q^{7} - q^{8} + q^{9} - q^{10} + q^{11} - q^{12} - 3 q^{13} + 4 q^{14} - q^{15} + q^{16} - 5 q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display