Properties

Label 123210.h
Number of curves $1$
Conductor $123210$
CM no
Rank $1$

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

Elliptic curves in class 123210.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
123210.h1 123210d1 \([1, -1, 0, -8508795, 7030996325]\) \(2528326645183247067/671088640000000\) \(18083172612833280000000\) \([]\) \(11975040\) \(2.9793\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 123210.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 123210.h do not have complex multiplication.

Modular form 123210.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 3 q^{7} - q^{8} + q^{10} + 4 q^{11} + 5 q^{13} + 3 q^{14} + q^{16} - 2 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display