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Properties

Label 418950.g
Number of curves $1$
Conductor $418950$
CM no
Rank $0$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 418950.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 418950.g do not have complex multiplication.

Modular form 418950.2.a.g

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 6 q^{11} + q^{16} + 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 418950.g

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.g1 418950g1 \([1, -1, 0, -15192, -2078784]\) \(-694769929/2954880\) \(-1649238570000000\) \([]\) \(3225600\) \(1.6050\) \(\Gamma_0(N)\)-optimal