Properties

Label 198900.j
Number of curves $1$
Conductor $198900$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 198900.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
198900.j1 198900ba1 \([0, 0, 0, -80625, 10353125]\) \(-508844800/112047\) \(-12762853593750000\) \([]\) \(1244160\) \(1.8110\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 198900.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 198900.j do not have complex multiplication.

Modular form 198900.2.a.j

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