Properties

Label 350727g
Number of curves $1$
Conductor $350727$
CM no
Rank $1$

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

Elliptic curves in class 350727g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
350727.g1 350727g1 \([0, 1, 1, -789651, -270345013]\) \(102937628616408334336/1607751982629\) \(850500798810741\) \([]\) \(2985984\) \(1.9992\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 350727g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 350727g do not have complex multiplication.

Modular form 350727.2.a.g

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} - q^{5} - q^{7} + q^{9} - 5 q^{11} - 2 q^{12} + q^{13} - q^{15} + 4 q^{16} + q^{17} + O(q^{20})\) Copy content Toggle raw display