Properties

Label 46200.dc
Number of curves $1$
Conductor $46200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dc1")
 
E.isogeny_class()
 

Elliptic curves in class 46200.dc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46200.dc1 46200bk1 \([0, 1, 0, -49873, -4303597]\) \(2143625552081920/693\) \(4435200\) \([]\) \(69888\) \(1.0737\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46200.dc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 46200.dc do not have complex multiplication.

Modular form 46200.2.a.dc

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