Properties

Label 88200.bv
Number of curves $1$
Conductor $88200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 88200.bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88200.bv1 88200dz1 \([0, 0, 0, 10500, -227500]\) \(35840/27\) \(-96446700000000\) \([]\) \(241920\) \(1.3715\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88200.bv1 has rank \(2\).

Complex multiplication

The elliptic curves in class 88200.bv do not have complex multiplication.

Modular form 88200.2.a.bv

sage: E.q_eigenform(10)
 
\(q - 2 q^{11} - 6 q^{13} - 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display