Properties

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

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

Elliptic curves in class 40080.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40080.l1 40080j1 \([0, -1, 0, 240, -2400]\) \(743389918/1565625\) \(-3206400000\) \([]\) \(24320\) \(0.50834\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40080.l1 has rank \(1\).

Complex multiplication

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

Modular form 40080.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 3 q^{7} + q^{9} - 6 q^{11} + 4 q^{13} - q^{15} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display