Properties

Label 250173.c
Number of curves $1$
Conductor $250173$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 250173.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
250173.c1 250173c1 \([0, 0, 1, -5576367, -3018983706]\) \(81520685056/30438639\) \(7160365095635904347349\) \([]\) \(20428800\) \(2.8934\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 250173.c do not have complex multiplication.

Modular form 250173.2.a.c

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{5} + q^{7} - 2 q^{10} - q^{11} - 4 q^{13} - 2 q^{14} - 4 q^{16} - 6 q^{17} + O(q^{20})\) Copy content Toggle raw display