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SageMath
E = EllipticCurve("fo1")
E.isogeny_class()
Elliptic curves in class 170352fo
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 170352.fy1 | 170352fo1 | \([0, 0, 0, -2882451, -2107764542]\) | \(-20994006260678308/3063651608241\) | \(-386503620389785027584\) | \([]\) | \(7372800\) | \(2.6806\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 170352fo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 170352fo do not have complex multiplication.Modular form 170352.2.a.fo
sage: E.q_eigenform(10)