Properties

Label 163800dk
Number of curves $1$
Conductor $163800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dk1")
 
E.isogeny_class()
 

Elliptic curves in class 163800dk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
163800.db1 163800dk1 \([0, 0, 0, -5268675, -4884673250]\) \(-693346671296498/40610171875\) \(-947354089500000000000\) \([]\) \(8985600\) \(2.7810\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 163800dk1 has rank \(0\).

Complex multiplication

The elliptic curves in class 163800dk do not have complex multiplication.

Modular form 163800.2.a.dk

sage: E.q_eigenform(10)
 
\(q + q^{7} - 5 q^{11} + q^{13} - 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display