Properties

Label 473382.y
Number of curves $1$
Conductor $473382$
CM no
Rank $1$

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

Elliptic curves in class 473382.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
473382.y1 473382y1 \([1, -1, 0, 214095, 107945117]\) \(2284322013/11927552\) \(-5666777219341615104\) \([]\) \(8434176\) \(2.2806\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 473382.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 473382.y do not have complex multiplication.

Modular form 473382.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} - 5 q^{11} + q^{13} - q^{14} + q^{16} - q^{19} + O(q^{20})\) Copy content Toggle raw display