Properties

Label 29400dn
Number of curves $1$
Conductor $29400$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("dn1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 29400dn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
29400.h1 29400dn1 [0, -1, 0, 14292, -20624463] [] 322560 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400dn1 has rank \(0\).

Complex multiplication

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

Modular form 29400.2.a.dn

sage: E.q_eigenform(10)
 
\( q - q^{3} + q^{9} - 5q^{11} + 2q^{13} - 6q^{17} + 2q^{19} + O(q^{20}) \)