Properties

Label 29040k
Number of curves $1$
Conductor $29040$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 29040k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29040.c1 29040k1 \([0, -1, 0, 444, 10155]\) \(2816/15\) \(-51446131440\) \([]\) \(21120\) \(0.73743\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29040k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 29040k do not have complex multiplication.

Modular form 29040.2.a.k

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