Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 250173.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
250173.d1 250173d1 \([0, 0, 1, 126711, 27825248]\) \(242970624/501809\) \(-464677179234482907\) \([]\) \(5391360\) \(2.0744\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173.d1 has rank \(1\).

Complex multiplication

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

Modular form 250173.2.a.d

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