Properties

Label 18928.r
Number of curves $1$
Conductor $18928$
CM no
Rank $1$

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

Elliptic curves in class 18928.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18928.r1 18928a1 \([0, 0, 0, -11492, 518492]\) \(-135834624/15379\) \(-19003262876416\) \([]\) \(32256\) \(1.2849\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18928.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 18928.r do not have complex multiplication.

Modular form 18928.2.a.r

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} - 3 q^{9} + 2 q^{11} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display