Properties

Label 102550.v
Number of curves $1$
Conductor $102550$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 102550.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102550.v1 102550t1 \([1, 0, 0, 287, 7417]\) \(167284151/1607984\) \(-25124750000\) \([]\) \(107520\) \(0.67677\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 102550.v do not have complex multiplication.

Modular form 102550.2.a.v

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