Properties

Label 133200eg
Number of curves $1$
Conductor $133200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("eg1")
 
E.isogeny_class()
 

Elliptic curves in class 133200eg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133200.v1 133200eg1 \([0, 0, 0, -92475, 10982250]\) \(-69426531/1184\) \(-1491499008000000\) \([]\) \(737280\) \(1.7100\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133200eg1 has rank \(2\).

Complex multiplication

The elliptic curves in class 133200eg do not have complex multiplication.

Modular form 133200.2.a.eg

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