Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 29400.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29400.u1 29400de1 \([0, -1, 0, -116048, 15694092]\) \(-2390122/81\) \(-5857406763264000\) \([]\) \(204288\) \(1.7994\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400.u1 has rank \(0\).

Complex multiplication

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

Modular form 29400.2.a.u

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