Properties

Label 471510cy
Number of curves $1$
Conductor $471510$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cy1")
 
E.isogeny_class()
 

Elliptic curves in class 471510cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
471510.cy1 471510cy1 \([1, -1, 1, -35060603, -80312350413]\) \(-1354547383894636849/8173828125000\) \(-28761606718330078125000\) \([]\) \(71884800\) \(3.1490\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 471510cy1 has rank \(0\).

Complex multiplication

The elliptic curves in class 471510cy do not have complex multiplication.

Modular form 471510.2.a.cy

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} - 3 q^{7} + q^{8} - q^{10} + 5 q^{11} - 3 q^{14} + q^{16} + 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display