Properties

Label 29400bc
Number of curves $1$
Conductor $29400$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("bc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 29400bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
29400.c1 29400bc1 [0, -1, 0, -11433, -558963] [] 78624 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400bc1 has rank \(1\).

Complex multiplication

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

Modular form 29400.2.a.bc

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