Properties

Label 103428.v
Number of curves $1$
Conductor $103428$
CM no
Rank $0$

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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 \([0, 0, 0, -624, -7020]\) \(-23003136/4913\) \(-5739012864\) \([]\) \(60480\) \(0.59383\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103428.v1 has rank \(0\).

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)
 
\(q + 2 q^{5} - 4 q^{7} + q^{11} - q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display