Properties

Label 29400do
Number of curves $1$
Conductor $29400$
CM no
Rank $2$

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Show commands for: SageMath
sage: E = EllipticCurve("do1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 29400do

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
29400.f1 29400do1 [0, -1, 0, -15108, 719937] [] 64512 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400do1 has rank \(2\).

Complex multiplication

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

Modular form 29400.2.a.do

sage: E.q_eigenform(10)
 
\( q - q^{3} + q^{9} - 5q^{11} - 4q^{13} - 2q^{17} - 4q^{19} + O(q^{20}) \)