Properties

Label 198744.dt
Number of curves $1$
Conductor $198744$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dt1")
 
E.isogeny_class()
 

Elliptic curves in class 198744.dt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
198744.dt1 198744bc1 \([0, 1, 0, -15693344, 26771185104]\) \(-20994006260678308/3063651608241\) \(-62375534204715800699904\) \([]\) \(22118400\) \(3.1043\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 198744.dt1 has rank \(0\).

Complex multiplication

The elliptic curves in class 198744.dt do not have complex multiplication.

Modular form 198744.2.a.dt

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} + q^{9} + 3 q^{15} - 7 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display