Properties

Label 5850x
Number of curves $1$
Conductor $5850$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 5850x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5850.l1 5850x1 \([1, -1, 0, -2022867, 1176735541]\) \(-3214683778008145/238496514048\) \(-67915608883200000000\) \([]\) \(154560\) \(2.5542\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5850x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5850x do not have complex multiplication.

Modular form 5850.2.a.x

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