Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 250173.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
250173.v1 250173v1 \([0, 0, 1, -5144250, -4489265228]\) \(1216000000000/505197\) \(6254852876167952133\) \([]\) \(4727808\) \(2.5685\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250173.v1 has rank \(1\).

Complex multiplication

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

Modular form 250173.2.a.v

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