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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 3550.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3550.j1 | 3550o1 | \([1, -1, 1, -65655, 6464847]\) | \(2003092024307193/9529458688\) | \(148897792000000\) | \([]\) | \(41472\) | \(1.5688\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3550.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3550.j do not have complex multiplication.Modular form 3550.2.a.j
sage: E.q_eigenform(10)