Properties

Label 133200.bd
Number of curves $1$
Conductor $133200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 133200.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133200.bd1 133200el1 \([0, 0, 0, 371925, 31772250]\) \(4516672077/2960000\) \(-3728747520000000000\) \([]\) \(1548288\) \(2.2524\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133200.bd1 has rank \(1\).

Complex multiplication

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

Modular form 133200.2.a.bd

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