Properties

Label 227850jk
Number of curves $1$
Conductor $227850$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("jk1")
 
E.isogeny_class()
 

Elliptic curves in class 227850jk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227850.n1 227850jk1 \([1, 1, 0, -18400, -17648000]\) \(-7649089/1488000\) \(-134031623250000000\) \([]\) \(3386880\) \(1.9657\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227850jk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 227850jk do not have complex multiplication.

Modular form 227850.2.a.jk

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - 3 q^{11} - q^{12} - 6 q^{13} + q^{16} + 2 q^{17} - q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display