Properties

Label 31200.g
Number of curves $1$
Conductor $31200$
CM no
Rank $1$

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

Elliptic curves in class 31200.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
31200.g1 31200bm1 \([0, -1, 0, -1121133, 457301637]\) \(-2435092894982656/88846875\) \(-5686200000000000\) \([]\) \(322560\) \(2.1110\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 31200.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 31200.g do not have complex multiplication.

Modular form 31200.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - 3q^{11} + q^{13} + 5q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display