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SageMath
E = EllipticCurve("ey1")
E.isogeny_class()
Elliptic curves in class 190575.ey
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.ey1 | 190575es1 | \([0, 0, 1, -40628775, 90807599781]\) | \(25104437248/2470629\) | \(729931222373634330328125\) | \([]\) | \(38320128\) | \(3.3158\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575.ey1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190575.ey do not have complex multiplication.Modular form 190575.2.a.ey
sage: E.q_eigenform(10)