Properties

Label 1848.h
Number of curves $1$
Conductor $1848$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 1848.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1848.h1 1848f1 \([0, 1, 0, 44, -847]\) \(575511296/20376279\) \(-326020464\) \([]\) \(672\) \(0.31347\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1848.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1848.h do not have complex multiplication.

Modular form 1848.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - q^{7} + q^{9} + q^{11} + q^{13} - q^{15} - 6 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display