Properties

Label 14400.dy
Number of curves $1$
Conductor $14400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dy1")
 
E.isogeny_class()
 

Elliptic curves in class 14400.dy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14400.dy1 14400dx1 \([0, 0, 0, 180, -2160]\) \(270\) \(-2388787200\) \([]\) \(5376\) \(0.48236\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14400.dy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14400.dy do not have complex multiplication.

Modular form 14400.2.a.dy

sage: E.q_eigenform(10)
 
\(q + 2 q^{7} - q^{11} + 4 q^{13} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display