Properties

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

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 29400.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29400.w1 29400f1 \([0, -1, 0, -3348, -223803]\) \(-88218880/413343\) \(-19451756242800\) \([]\) \(46080\) \(1.2346\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400.w1 has rank \(0\).

Complex multiplication

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

Modular form 29400.2.a.w

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