Properties

Label 85176.v
Number of curves $1$
Conductor $85176$
CM no
Rank $1$

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

Elliptic curves in class 85176.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85176.v1 85176bm1 \([0, 0, 0, 1435317, -824494554]\) \(1225217998314/1809323971\) \(-482914412815852652544\) \([]\) \(2257920\) \(2.6543\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85176.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 85176.v do not have complex multiplication.

Modular form 85176.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - q^{11} - 3q^{17} + q^{19} + O(q^{20})\)  Toggle raw display