Properties

Label 16830.m
Number of curves $1$
Conductor $16830$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 16830.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16830.m1 16830b1 \([1, -1, 0, 17580, 2453200]\) \(22253722294800933/109514680000000\) \(-2956896360000000\) \([]\) \(100800\) \(1.6508\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16830.m1 has rank \(1\).

Complex multiplication

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

Modular form 16830.2.a.m

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