Properties

Label 412224.m
Number of curves $1$
Conductor $412224$
CM no
Rank $1$

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

Elliptic curves in class 412224.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412224.m1 412224m1 \([0, -1, 0, 11167, 131553]\) \(1174855468750/740206161\) \(-97020301934592\) \([]\) \(1059840\) \(1.3729\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 412224.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 412224.m do not have complex multiplication.

Modular form 412224.2.a.m

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