Properties

Label 61200.b
Number of curves $1$
Conductor $61200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 61200.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
61200.b1 61200gh1 \([0, 0, 0, -38325, 21200875]\) \(-34158804736/1045659375\) \(-190571421093750000\) \([]\) \(829440\) \(1.9961\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61200.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 61200.b do not have complex multiplication.

Modular form 61200.2.a.b

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