Properties

Label 485520c
Number of curves $1$
Conductor $485520$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 485520c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485520.c1 485520c1 \([0, -1, 0, -4261, -105395]\) \(7229403136/19845\) \(23491399680\) \([]\) \(506880\) \(0.86316\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485520c1 has rank \(2\).

Complex multiplication

The elliptic curves in class 485520c do not have complex multiplication.

Modular form 485520.2.a.c

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