Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 29400.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29400.a1 29400cz1 \([0, -1, 0, -233, 3837]\) \(-7168/27\) \(-5292000000\) \([]\) \(18432\) \(0.55142\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400.a1 has rank \(1\).

Complex multiplication

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

Modular form 29400.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 6 q^{11} - 3 q^{13} + 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display