Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 29400.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29400.r1 29400k1 \([0, -1, 0, 2917, -26088]\) \(358400/243\) \(-1860468750000\) \([]\) \(28800\) \(1.0430\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400.r1 has rank \(0\).

Complex multiplication

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

Modular form 29400.2.a.r

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