Properties

Label 3864c
Number of curves $1$
Conductor $3864$
CM no
Rank $1$

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

Elliptic curves in class 3864c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3864.c1 3864c1 \([0, 1, 0, 7, 459]\) \(128000/352107\) \(-90139392\) \([]\) \(1120\) \(0.20535\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3864c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3864c do not have complex multiplication.

Modular form 3864.2.a.c

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