Properties

Label 382200jk
Number of curves $1$
Conductor $382200$
CM no
Rank $1$

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

Elliptic curves in class 382200jk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
382200.jk1 382200jk1 \([0, 1, 0, 57167, 89738963]\) \(351232/59319\) \(-3489410515500000000\) \([]\) \(6739200\) \(2.2373\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 382200jk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 382200jk do not have complex multiplication.

Modular form 382200.2.a.jk

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} + 5 q^{11} + q^{13} - 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display