Properties

Label 402930l
Number of curves $1$
Conductor $402930$
CM no
Rank $0$

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

Elliptic curves in class 402930l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402930.l1 402930l1 \([1, -1, 0, -4560, 251576]\) \(-8120601/16280\) \(-21025098535320\) \([]\) \(927360\) \(1.2458\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 402930l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 402930l do not have complex multiplication.

Modular form 402930.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{7} - q^{8} + q^{10} - 2 q^{13} + q^{14} + q^{16} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display