Properties

Label 29400dr
Number of curves $1$
Conductor $29400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dr1")
 
E.isogeny_class()
 

Elliptic curves in class 29400dr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29400.do1 29400dr1 \([0, 1, 0, -73663, -7885942]\) \(-46028377077760/1162261467\) \(-1116235912906800\) \([]\) \(109440\) \(1.6715\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400dr1 has rank \(1\).

Complex multiplication

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

Modular form 29400.2.a.dr

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