Properties

Label 422331t
Number of curves $1$
Conductor $422331$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 422331t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422331.t1 422331t1 \([1, 1, 1, -764, 5858]\) \(208537/51\) \(12062195691\) \([]\) \(393120\) \(0.64511\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 422331t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 422331t do not have complex multiplication.

Modular form 422331.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + 3 q^{5} + q^{6} + 3 q^{8} + q^{9} - 3 q^{10} - 6 q^{11} + q^{12} - 3 q^{15} - q^{16} + q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display