Properties

Label 20280.y
Number of curves $1$
Conductor $20280$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 20280.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20280.y1 20280x1 \([0, 1, 0, -17801, 1395915]\) \(-504871936/394875\) \(-487932468192000\) \([]\) \(80640\) \(1.5171\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20280.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20280.y do not have complex multiplication.

Modular form 20280.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + 3 q^{7} + q^{9} + 3 q^{11} - q^{15} - q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display