Properties

Label 27448.c
Number of curves $1$
Conductor $27448$
CM no
Rank $0$

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

Elliptic curves in class 27448.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27448.c1 27448c1 \([0, 1, 0, -20, -64]\) \(-3631696/3431\) \(-878336\) \([]\) \(3456\) \(-0.16316\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27448.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 27448.c do not have complex multiplication.

Modular form 27448.2.a.c

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + 4 q^{7} - 2 q^{9} + 4 q^{11} - 5 q^{13} + q^{15} + 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display