Properties

Label 213444m
Number of curves $1$
Conductor $213444$
CM no
Rank $1$

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

Elliptic curves in class 213444m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213444.r1 213444m1 \([0, 0, 0, -1191729, -596688631]\) \(-76995328/18711\) \(-45487164018451334256\) \([]\) \(5529600\) \(2.4905\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 213444m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 213444m do not have complex multiplication.

Modular form 213444.2.a.m

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