Properties

Label 101430a
Number of curves $1$
Conductor $101430$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 101430a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
101430.o1 101430a1 \([1, -1, 0, -82770, 6821450]\) \(552675123/143750\) \(16311108099431250\) \([]\) \(846720\) \(1.8199\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 101430a1 has rank \(1\).

Complex multiplication

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

Modular form 101430.2.a.a

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