Properties

Label 344850.gr
Number of curves $1$
Conductor $344850$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gr1")
 
E.isogeny_class()
 

Elliptic curves in class 344850.gr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344850.gr1 344850gr1 \([1, 0, 0, 4777, 606057]\) \(272199695/3735552\) \(-165443955916800\) \([]\) \(1098240\) \(1.4090\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344850.gr1 has rank \(1\).

Complex multiplication

The elliptic curves in class 344850.gr do not have complex multiplication.

Modular form 344850.2.a.gr

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{8} + q^{9} + q^{12} - 4 q^{13} + q^{16} - 4 q^{17} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display