Properties

Label 1824.i
Number of curves $1$
Conductor $1824$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 1824.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1824.i1 1824h1 \([0, 1, 0, 19, 123]\) \(175616/1539\) \(-6303744\) \([]\) \(256\) \(-0.013975\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1824.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1824.i do not have complex multiplication.

Modular form 1824.2.a.i

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