Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 422331y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422331.y1 422331y1 \([1, 0, 0, -4313, 114204]\) \(-129390625/7803\) \(-535090420683\) \([]\) \(563328\) \(1.0056\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 422331y1 has rank \(1\).

Complex multiplication

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

Modular form 422331.2.a.y

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