Properties

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

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

Elliptic curves in class 4680o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4680.c1 4680o1 \([0, 0, 0, -948, -17228]\) \(-504871936/394875\) \(-73693152000\) \([]\) \(3840\) \(0.78391\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4680o1 has rank \(1\).

Complex multiplication

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

Modular form 4680.2.a.o

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