Properties

Label 17600db
Number of curves $1$
Conductor $17600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("db1")
 
E.isogeny_class()
 

Elliptic curves in class 17600db

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17600.a1 17600db1 \([0, 0, 0, -11500, -650000]\) \(-2628072/1331\) \(-85184000000000\) \([]\) \(99840\) \(1.3778\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17600db1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17600db do not have complex multiplication.

Modular form 17600.2.a.db

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 3 q^{7} + 6 q^{9} - q^{11} + 4 q^{13} + 7 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display