Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("o1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7056.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7056.o1 7056bu1 \([0, 0, 0, 57624, 1142876]\) \(401408/243\) \(-12810148591258368\) \([]\) \(40320\) \(1.7800\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7056.o1 has rank \(0\).

Complex multiplication

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

Modular form 7056.2.a.o

sage: E.q_eigenform(10)
 
\(q - 2q^{5} + 2q^{11} + 3q^{13} + 8q^{17} - q^{19} + O(q^{20})\)  Toggle raw display