Properties

Label 101430.i
Number of curves $1$
Conductor $101430$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 101430.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101430.i1 101430s1 \([1, -1, 0, -19957905, -26605476675]\) \(209197615052550481/48272572500000\) \(202867413406797352500000\) \([]\) \(14112000\) \(3.1845\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101430.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 101430.i do not have complex multiplication.

Modular form 101430.2.a.i

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