Properties

Label 445280.c
Number of curves $1$
Conductor $445280$
CM no
Rank $3$

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

Elliptic curves in class 445280.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
445280.c1 445280c1 \([0, 0, 0, -107932, 13656544]\) \(-2318695384896/1653125\) \(-99137139200000\) \([]\) \(4792320\) \(1.6212\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 445280.c1 has rank \(3\).

Complex multiplication

The elliptic curves in class 445280.c do not have complex multiplication.

Modular form 445280.2.a.c

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} - 3 q^{7} + 6 q^{9} - 6 q^{13} - 3 q^{15} - 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display