Properties

Label 85176.bl
Number of curves $1$
Conductor $85176$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("bl1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 85176.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85176.bl1 85176h1 \([0, 0, 0, 12917853, 22261352958]\) \(1225217998314/1809323971\) \(-352044606942756583704576\) \([]\) \(6773760\) \(3.2036\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85176.bl1 has rank \(0\).

Complex multiplication

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

Modular form 85176.2.a.bl

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