Properties

Label 422331.v
Number of curves $1$
Conductor $422331$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 422331.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422331.v1 422331v1 \([1, 0, 0, -37437, -2121666]\) \(208537/51\) \(1419105260850459\) \([]\) \(2751840\) \(1.6181\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 422331.v1 has rank \(0\).

Complex multiplication

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

Modular form 422331.2.a.v

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