Properties

Label 7056a
Number of curves $1$
Conductor $7056$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 7056a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7056.bm1 7056a1 \([0, 0, 0, -147, 882]\) \(-2646\) \(-132765696\) \([]\) \(1920\) \(0.26846\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7056a1 has rank \(1\).

Complex multiplication

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

Modular form 7056.2.a.a

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