Properties

Label 7220.a
Number of curves $1$
Conductor $7220$
CM no
Rank $1$

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

Elliptic curves in class 7220.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7220.a1 7220e1 \([0, 1, 0, -101, -425]\) \(1245184/5\) \(462080\) \([]\) \(1512\) \(-0.056525\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7220.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7220.a do not have complex multiplication.

Modular form 7220.2.a.a

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