Properties

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

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 18928e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18928.bd1 18928e1 \([0, -1, 0, -225, -112867]\) \(-1024/4459\) \(-5509821780736\) \([]\) \(32256\) \(1.1237\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18928e1 has rank \(0\).

Complex multiplication

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

Modular form 18928.2.a.e

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{5} + q^{7} + q^{9} + 4 q^{11} + 2 q^{15} - 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display