Properties

Label 180999.c
Number of curves $1$
Conductor $180999$
CM no
Rank $1$

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

Elliptic curves in class 180999.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
180999.c1 180999c1 \([0, 0, 1, -21801, 18092844]\) \(-325660672/40000779\) \(-140752491541389819\) \([]\) \(2967552\) \(1.9699\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 180999.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 180999.c do not have complex multiplication.

Modular form 180999.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + 3 q^{5} - q^{7} - 6 q^{10} - 6 q^{11} + 2 q^{14} - 4 q^{16} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display