Properties

Label 215950ba
Number of curves $1$
Conductor $215950$
CM no
Rank $0$

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

Elliptic curves in class 215950ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215950.l1 215950ba1 \([1, 0, 1, -243251, -46197602]\) \(-101874390302149921/12093200\) \(-188956250000\) \([]\) \(1222656\) \(1.5848\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215950ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 215950ba do not have complex multiplication.

Modular form 215950.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{7} - q^{8} - 2 q^{9} + 4 q^{11} + q^{12} + 2 q^{13} + q^{14} + q^{16} + 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display