Properties

Label 317400g
Number of curves $1$
Conductor $317400$
CM no
Rank $0$

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

Elliptic curves in class 317400g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
317400.g1 317400g1 \([0, -1, 0, 100703967, -1710629725563]\) \(190737654201344/2245153696875\) \(-1329453293834108587500000000\) \([]\) \(121651200\) \(3.8855\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 317400g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 317400g do not have complex multiplication.

Modular form 317400.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 4 q^{11} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display