Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 422331m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422331.m1 422331m1 \([0, 1, 1, -466496, 217996328]\) \(-692224/867\) \(-14061798184439781867\) \([]\) \(22445280\) \(2.3675\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 422331m1 has rank \(1\).

Complex multiplication

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

Modular form 422331.2.a.m

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