Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 133200.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133200.d1 133200bm1 \([0, 0, 0, -3360, 75260]\) \(-899153920/4107\) \(-19161619200\) \([]\) \(156672\) \(0.82426\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133200.d1 has rank \(2\).

Complex multiplication

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

Modular form 133200.2.a.d

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} + 2 q^{11} + q^{13} - 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display