Properties

Label 4680u
Number of curves $1$
Conductor $4680$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 4680u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4680.o1 4680u1 \([0, 0, 0, 87468, -6552236]\) \(396555344454656/328867205355\) \(-61374513332171520\) \([]\) \(42240\) \(1.9090\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4680u1 has rank \(1\).

Complex multiplication

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

Modular form 4680.2.a.u

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