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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 5408.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5408.i1 | 5408h1 | \([0, 1, 0, -56, -8644]\) | \(-8/13\) | \(-32127240704\) | \([]\) | \(2688\) | \(0.69506\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5408.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5408.i do not have complex multiplication.Modular form 5408.2.a.i
sage: E.q_eigenform(10)