Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 40080.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40080.a1 40080e1 \([0, -1, 0, -3172691, -2175002370]\) \(-220743129979978267961344/106527664695940875\) \(-1704442635135054000\) \([]\) \(1090560\) \(2.4528\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40080.a1 has rank \(0\).

Complex multiplication

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

Modular form 40080.2.a.a

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