Properties

Label 32400.by
Number of curves $1$
Conductor $32400$
CM no
Rank $0$

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

Elliptic curves in class 32400.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32400.by1 32400be1 \([0, 0, 0, -1200, 14000]\) \(36864/5\) \(25920000000\) \([]\) \(23040\) \(0.72537\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32400.by1 has rank \(0\).

Complex multiplication

The elliptic curves in class 32400.by do not have complex multiplication.

Modular form 32400.2.a.by

sage: E.q_eigenform(10)
 
\(q + 5 q^{11} - 4 q^{13} - 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display