Properties

Label 702.c
Number of curves 11
Conductor 702702
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 702.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
702.c1 702f1 [1,1,0,648,9536][1, -1, 0, -648, 9536] 1115480294811/760408064-1115480294811/760408064 20531017728-20531017728 [][] 660660 0.679220.67922 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 702.c1 has rank 00.

Complex multiplication

The elliptic curves in class 702.c do not have complex multiplication.

Modular form 702.2.a.c

sage: E.q_eigenform(10)
 
qq2+q42q5+4q7q8+2q10+2q11q134q14+q163q19+O(q20)q - q^{2} + q^{4} - 2 q^{5} + 4 q^{7} - q^{8} + 2 q^{10} + 2 q^{11} - q^{13} - 4 q^{14} + q^{16} - 3 q^{19} + O(q^{20}) Copy content Toggle raw display