Properties

Label 18928d
Number of curves $1$
Conductor $18928$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 18928d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18928.w1 18928d1 \([0, 1, 0, -1408, 49492]\) \(-31250/91\) \(-899562739712\) \([]\) \(16128\) \(0.98074\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18928d1 has rank \(0\).

Complex multiplication

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

Modular form 18928.2.a.d

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