Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("be1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 29400.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29400.be1 29400cl1 \([0, -1, 0, -3609503, 2697659112]\) \(-46028377077760/1162261467\) \(-131324038917572113200\) \([]\) \(766080\) \(2.6445\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400.be1 has rank \(1\).

Complex multiplication

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

Modular form 29400.2.a.be

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