Properties

Label 211600.m
Number of curves $1$
Conductor $211600$
CM no
Rank $1$

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

Elliptic curves in class 211600.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
211600.m1 211600n1 \([0, 1, 0, -6133, 507363]\) \(-32768/125\) \(-97336000000000\) \([]\) \(746496\) \(1.3697\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 211600.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 211600.m do not have complex multiplication.

Modular form 211600.2.a.m

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 3 q^{7} + q^{9} + 6 q^{11} - 4 q^{13} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display