Properties

Label 70602h
Number of curves $1$
Conductor $70602$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 70602h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70602.f1 70602h1 \([1, 0, 1, -9363, 347902]\) \(53992618480921/1037232\) \(1743586992\) \([]\) \(209664\) \(0.89628\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70602h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 70602h do not have complex multiplication.

Modular form 70602.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 4 q^{5} - q^{6} - q^{7} - q^{8} + q^{9} + 4 q^{10} - q^{11} + q^{12} + 5 q^{13} + q^{14} - 4 q^{15} + q^{16} + 6 q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display