Properties

Label 16830ci
Number of curves $1$
Conductor $16830$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 16830ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16830.bm1 16830ci1 \([1, -1, 1, 15907, -115473]\) \(610641930681719/360747465210\) \(-262984902138090\) \([]\) \(74880\) \(1.4563\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16830ci1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16830ci do not have complex multiplication.

Modular form 16830.2.a.ci

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} - 3 q^{7} + q^{8} - q^{10} + q^{11} - 4 q^{13} - 3 q^{14} + q^{16} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display