Properties

Label 122010q
Number of curves $1$
Conductor $122010$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 122010q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
122010.u1 122010q1 \([1, 0, 1, -372489, 87473236]\) \(-16663578523153907743/525234375000\) \(-180155390625000\) \([]\) \(1336320\) \(1.8313\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 122010q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 122010q do not have complex multiplication.

Modular form 122010.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - q^{8} + q^{9} + q^{10} + 3 q^{11} + q^{12} + 4 q^{13} - q^{15} + q^{16} - 6 q^{17} - q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display