Properties

Label 29760.bk
Number of curves $1$
Conductor $29760$
CM no
Rank $1$

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

Elliptic curves in class 29760.bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29760.bk1 29760by1 \([0, -1, 0, -13025, 650625]\) \(-932288503609/148800000\) \(-39007027200000\) \([]\) \(69120\) \(1.3360\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29760.bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 29760.bk do not have complex multiplication.

Modular form 29760.2.a.bk

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