Properties

Label 70602.v
Number of curves $1$
Conductor $70602$
CM no
Rank $0$

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

Elliptic curves in class 70602.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
70602.v1 70602z1 \([1, 1, 1, -13153860, 18356526789]\) \(31521908651521/653184\) \(5215625400858171264\) \([]\) \(3471552\) \(2.7104\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 70602.v1 has rank \(0\).

Complex multiplication

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

Modular form 70602.2.a.v

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