Properties

Label 8048c
Number of curves $1$
Conductor $8048$
CM no
Rank $0$

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

Elliptic curves in class 8048c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8048.i1 8048c1 \([0, 1, 0, 12, -4]\) \(686000/503\) \(-128768\) \([]\) \(768\) \(-0.33122\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8048c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8048c do not have complex multiplication.

Modular form 8048.2.a.c

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