Properties

Label 190400.ba
Number of curves $1$
Conductor $190400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 190400.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190400.ba1 190400i1 \([0, 1, 0, -33, -1187]\) \(-4096/595\) \(-595000000\) \([]\) \(53760\) \(0.36307\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190400.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 190400.ba do not have complex multiplication.

Modular form 190400.2.a.ba

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{7} + q^{9} - 2 q^{11} - q^{13} - q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display