Properties

Label 308550.g
Number of curves $1$
Conductor $308550$
CM no
Rank $1$

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

Elliptic curves in class 308550.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
308550.g1 308550g1 \([1, 1, 0, -194625, -33129675]\) \(-10780966283343025/144324288\) \(-10914524280000\) \([]\) \(2405376\) \(1.6448\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 308550.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 308550.g do not have complex multiplication.

Modular form 308550.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - 4 q^{7} - q^{8} + q^{9} - q^{12} + q^{13} + 4 q^{14} + q^{16} - q^{17} - q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display