Properties

Label 213444.g
Number of curves $1$
Conductor $213444$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 213444.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213444.g1 213444f1 \([0, 0, 0, -5907080487, -174746118341410]\) \(-8985792737264/2187\) \(-5547978421002472336535808\) \([]\) \(238436352\) \(4.1251\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 213444.g1 has rank \(1\).

Complex multiplication

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

Modular form 213444.2.a.g

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