Properties

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

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Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 29400.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
29400.by1 29400cj1 \([0, -1, 0, 48592, -9331188]\) \(68782/243\) \(-44827092576000000\) \([]\) \(235200\) \(1.8781\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 29400.by1 has rank \(0\).

Complex multiplication

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

Modular form 29400.2.a.by

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