Properties

Label 18400.r
Number of curves $1$
Conductor $18400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 18400.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18400.r1 18400q1 \([0, -1, 0, 2467, -11867563]\) \(25934336/950546875\) \(-60835000000000000\) \([]\) \(96768\) \(1.8995\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18400.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 18400.r do not have complex multiplication.

Modular form 18400.2.a.r

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - q^{7} + q^{9} + 2 q^{11} + q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display