Properties

Label 4680.a
Number of curves $1$
Conductor $4680$
CM no
Rank $1$

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

Elliptic curves in class 4680.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4680.a1 4680h1 \([0, 0, 0, -3108, 66692]\) \(-17790954496/195\) \(-36391680\) \([]\) \(3840\) \(0.60505\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4680.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4680.a do not have complex multiplication.

Modular form 4680.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{5} - 5 q^{7} - q^{11} + q^{13} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display