Properties

Label 271440.y
Number of curves $1$
Conductor $271440$
CM no
Rank $0$

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

Elliptic curves in class 271440.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
271440.y1 271440y1 \([0, 0, 0, 2157, -63182]\) \(743389918/1585285\) \(-2366817822720\) \([]\) \(478080\) \(1.0587\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 271440.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 271440.y do not have complex multiplication.

Modular form 271440.2.a.y

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