Properties

Label 47610.q
Number of curves $1$
Conductor $47610$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 47610.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47610.q1 47610u1 \([1, -1, 0, 603720, 280190200]\) \(63102533673332111/124556484375000\) \(-48034087190859375000\) \([]\) \(2396160\) \(2.4610\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47610.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 47610.q do not have complex multiplication.

Modular form 47610.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 5 q^{7} - q^{8} + q^{10} - 5 q^{11} - 5 q^{14} + q^{16} + 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display