Properties

Label 103428.v
Number of curves 11
Conductor 103428103428
CM no
Rank 00

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

Elliptic curves in class 103428.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103428.v1 103428a1 [0,0,0,624,7020][0, 0, 0, -624, -7020] 23003136/4913-23003136/4913 5739012864-5739012864 [][] 6048060480 0.593830.59383 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103428.v1 has rank 00.

Complex multiplication

The elliptic curves in class 103428.v do not have complex multiplication.

Modular form 103428.2.a.v

sage: E.q_eigenform(10)
 
q+2q54q7+q11q17+3q19+O(q20)q + 2 q^{5} - 4 q^{7} + q^{11} - q^{17} + 3 q^{19} + O(q^{20}) Copy content Toggle raw display