Properties

Label 485520i
Number of curves $1$
Conductor $485520$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 485520i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485520.i1 485520i1 \([0, -1, 0, -163381, -37523075]\) \(-4878401536/3346875\) \(-330897105907200000\) \([]\) \(4976640\) \(2.0621\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485520i1 has rank \(0\).

Complex multiplication

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

Modular form 485520.2.a.i

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