Properties

Label 39984c
Number of curves $1$
Conductor $39984$
CM no
Rank $2$

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

Elliptic curves in class 39984c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39984.b1 39984c1 \([0, -1, 0, 4688, -151136]\) \(964894/1377\) \(-16257292240896\) \([]\) \(86016\) \(1.2205\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39984c1 has rank \(2\).

Complex multiplication

The elliptic curves in class 39984c do not have complex multiplication.

Modular form 39984.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} - 2 q^{11} + 3 q^{15} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display