Properties

Label 48400dh
Number of curves $1$
Conductor $48400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("dh1")
 
E.isogeny_class()
 

Elliptic curves in class 48400dh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
48400.j1 48400dh1 \([0, 1, 0, -10503808, -13106030412]\) \(233551483825/8192\) \(4495431560069120000\) \([]\) \(1976832\) \(2.6692\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48400dh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 48400dh do not have complex multiplication.

Modular form 48400.2.a.dh

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