Properties

Label 1470.o
Number of curves $1$
Conductor $1470$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 1470.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1470.o1 1470q1 \([1, 0, 0, -146511, -24843015]\) \(-1231272543361/230400000\) \(-65082297369600000\) \([]\) \(21840\) \(1.9505\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1470.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1470.o do not have complex multiplication.

Modular form 1470.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{8} + q^{9} - q^{10} - 5 q^{11} + q^{12} + 5 q^{13} - q^{15} + q^{16} + 4 q^{17} + q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display