Properties

Label 19950be
Number of curves $1$
Conductor $19950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 19950be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19950.v1 19950be1 \([1, 0, 1, -771, -8312]\) \(-404731359773/864234\) \(-108029250\) \([]\) \(17280\) \(0.42604\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19950be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 19950be do not have complex multiplication.

Modular form 19950.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{7} - q^{8} + q^{9} - 5 q^{11} + q^{12} + 7 q^{13} + q^{14} + q^{16} + 7 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display