Properties

Label 7056.cc
Number of curves $1$
Conductor $7056$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("cc1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7056.cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7056.cc1 7056k1 \([0, 0, 0, -2268, 41580]\) \(-5225472\) \(-246903552\) \([]\) \(5760\) \(0.61111\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7056.cc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7056.cc do not have complex multiplication.

Modular form 7056.2.a.cc

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