Properties

Label 250173t
Number of curves $1$
Conductor $250173$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 250173t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
250173.t1 250173t1 \([0, 0, 1, -1111158, -384414370]\) \(23887872/3773\) \(23964065957664047061\) \([]\) \(3939840\) \(2.4413\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173t1 has rank \(0\).

Complex multiplication

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

Modular form 250173.2.a.t

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