Properties

Label 91200gf
Number of curves $1$
Conductor $91200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gf1")
 
E.isogeny_class()
 

Elliptic curves in class 91200gf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91200.w1 91200gf1 \([0, -1, 0, -70833, 3774537]\) \(3930400000/1666737\) \(16667370000000000\) \([]\) \(691200\) \(1.8094\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91200gf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 91200gf do not have complex multiplication.

Modular form 91200.2.a.gf

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 2 q^{11} - 6 q^{13} + q^{19} + O(q^{20})\) Copy content Toggle raw display