Properties

Label 126350.p
Number of curves $1$
Conductor $126350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 126350.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
126350.p1 126350x1 \([1, 1, 0, 22711225, -83591796875]\) \(1762396940073671/5127312834560\) \(-3769046085382538240000000\) \([]\) \(23224320\) \(3.3992\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 126350.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 126350.p do not have complex multiplication.

Modular form 126350.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} - 2 q^{9} - q^{12} + 4 q^{13} - q^{14} + q^{16} - 7 q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display