Properties

Label 40080.t
Number of curves $1$
Conductor $40080$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 40080.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40080.t1 40080g1 \([0, -1, 0, -20, 27]\) \(58107136/22545\) \(360720\) \([]\) \(4608\) \(-0.23481\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40080.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 40080.t do not have complex multiplication.

Modular form 40080.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 4 q^{7} + q^{9} + 2 q^{11} - 5 q^{13} - q^{15} + 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display