Properties

Label 61347y
Number of curves $1$
Conductor $61347$
CM no
Rank $1$

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

Elliptic curves in class 61347y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
61347.x1 61347y1 \([1, 0, 1, 503, 25859]\) \(143/3\) \(-296110251723\) \([]\) \(63648\) \(0.88149\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61347y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 61347y do not have complex multiplication.

Modular form 61347.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} - q^{4} - 2 q^{5} + q^{6} - 3 q^{7} - 3 q^{8} + q^{9} - 2 q^{10} - q^{12} - 3 q^{14} - 2 q^{15} - q^{16} + q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display