Properties

Label 250470g
Number of curves $1$
Conductor $250470$
CM no
Rank $0$

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

Elliptic curves in class 250470g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
250470.g1 250470g1 \([1, -1, 0, -76249080, -254285774550]\) \(313731791659399201/2775672918750\) \(433747812705350106768750\) \([]\) \(41564160\) \(3.3590\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 250470g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 250470g do not have complex multiplication.

Modular form 250470.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - 3 q^{7} - q^{8} + q^{10} + q^{13} + 3 q^{14} + q^{16} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display