Properties

Label 4600.m
Number of curves $1$
Conductor $4600$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 4600.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4600.m1 4600m1 \([0, -1, 0, -208, 1212]\) \(1562500/23\) \(14720000\) \([]\) \(1536\) \(0.17860\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4600.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4600.m do not have complex multiplication.

Modular form 4600.2.a.m

sage: E.q_eigenform(10)
 
\(q + 2q^{3} - 3q^{7} + q^{9} + 5q^{11} - 5q^{13} - 4q^{17} + q^{19} + O(q^{20})\)  Toggle raw display