Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 29400.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
29400.p1 29400b1 [0, -1, 0, 572, -15308] [] 32256 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400.p1 has rank \(1\).

Complex multiplication

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

Modular form 29400.2.a.p

sage: E.q_eigenform(10)
 
\( q - q^{3} + q^{9} - 2q^{11} - q^{13} - 8q^{17} + 7q^{19} + O(q^{20}) \)