Properties

Label 16650.h
Number of curves $1$
Conductor $16650$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 16650.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16650.h1 16650m1 \([1, -1, 0, 45558, 1930716]\) \(918046641959/674325000\) \(-7680983203125000\) \([]\) \(138240\) \(1.7364\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16650.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16650.h do not have complex multiplication.

Modular form 16650.2.a.h

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