Properties

Label 29400.k
Number of curves $1$
Conductor $29400$
CM no
Rank $1$

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

Elliptic curves in class 29400.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29400.k1 29400cv1 \([0, -1, 0, -1388, -20943]\) \(-6288640/567\) \(-26682793200\) \([]\) \(18432\) \(0.74380\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 29400.k do not have complex multiplication.

Modular form 29400.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 3q^{11} - 2q^{13} - 2q^{19} + O(q^{20})\)  Toggle raw display