Properties

Label 222180.h
Number of curves $1$
Conductor $222180$
CM no
Rank $1$

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

Elliptic curves in class 222180.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
222180.h1 222180s1 \([0, -1, 0, -1492485, -933010623]\) \(-34668544/15435\) \(-163691059349164112640\) \([]\) \(7789824\) \(2.5856\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 222180.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 222180.h do not have complex multiplication.

Modular form 222180.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} + q^{9} - 5 q^{13} - q^{15} - 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display