Properties

Label 53802bm
Number of curves 11
Conductor 5380253802
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 53802bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53802.cd1 53802bm1 [1,1,1,377,3063][1, -1, 1, -377, 3063] 1860867/122-1860867/122 387535806-387535806 [][] 3225632256 0.400500.40050 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53802bm1 has rank 00.

Complex multiplication

The elliptic curves in class 53802bm do not have complex multiplication.

Modular form 53802.2.a.bm

sage: E.q_eigenform(10)
 
q+q2+q4+q5+q8+q10+6q11+6q13+q163q17+6q19+O(q20)q + q^{2} + q^{4} + q^{5} + q^{8} + q^{10} + 6 q^{11} + 6 q^{13} + q^{16} - 3 q^{17} + 6 q^{19} + O(q^{20}) Copy content Toggle raw display