Properties

Label 85680l
Number of curves $1$
Conductor $85680$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 85680l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
85680.j1 85680l1 \([0, 0, 0, -75102348, 571386048172]\) \(-251024877317069793166336/610476381287841796875\) \(-113929544181462187500000000\) \([]\) \(25159680\) \(3.6879\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 85680l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 85680l do not have complex multiplication.

Modular form 85680.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - 2 q^{11} - q^{13} - q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display