Properties

Label 200277c
Number of curves $1$
Conductor $200277$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 200277c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200277.d1 200277c1 \([0, 0, 1, -867, 183298]\) \(-1183744/237699\) \(-14472733612491\) \([]\) \(580608\) \(1.2046\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200277c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 200277c do not have complex multiplication.

Modular form 200277.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{5} + q^{7} - 2 q^{10} + q^{11} + 4 q^{13} - 2 q^{14} - 4 q^{16} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display