Properties

Label 485100.n
Number of curves $1$
Conductor $485100$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 485100.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485100.n1 485100n1 \([0, 0, 0, -6615, 224910]\) \(-105840/11\) \(-3327025363200\) \([]\) \(777600\) \(1.1420\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485100.n1 has rank \(2\).

Complex multiplication

The elliptic curves in class 485100.n do not have complex multiplication.

Modular form 485100.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{11} - 4 q^{13} - 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display