Properties

Label 17640l
Number of curves $1$
Conductor $17640$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 17640l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
17640.w1 17640l1 \([0, 0, 0, 3697197, -86239122802]\) \(649381163998/373669453125\) \(-3216098912267072160000000\) \([]\) \(2634240\) \(3.3816\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 17640l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 17640l do not have complex multiplication.

Modular form 17640.2.a.l

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