Properties

Label 8085.l
Number of curves $1$
Conductor $8085$
CM no
Rank $0$

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

Elliptic curves in class 8085.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8085.l1 8085a1 \([0, -1, 1, -20351, -488734]\) \(161702969344/75178125\) \(433386930178125\) \([]\) \(23520\) \(1.5031\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8085.l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8085.l do not have complex multiplication.

Modular form 8085.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - q^{5} + q^{9} + q^{11} + 2 q^{12} + 3 q^{13} + q^{15} + 4 q^{16} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display