Properties

Label 61200bz
Number of curves $1$
Conductor $61200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 61200bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
61200.ba1 61200bz1 \([0, 0, 0, -75, -10375]\) \(-256/255\) \(-46473750000\) \([]\) \(36864\) \(0.72587\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 61200bz1 has rank \(1\).

Complex multiplication

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

Modular form 61200.2.a.bz

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 3 q^{11} - 4 q^{13} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display