Properties

Label 85176u
Number of curves $1$
Conductor $85176$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 85176u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85176.g1 85176u1 \([0, 0, 0, 34476, -3049436]\) \(5030912/7371\) \(-6639785027156736\) \([]\) \(516096\) \(1.7215\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85176u1 has rank \(2\).

Complex multiplication

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

Modular form 85176.2.a.u

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{7} - 2 q^{11} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display