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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 190575d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 190575.k1 | 190575d1 | \([0, 0, 1, -6488625, 5905538856]\) | \(28121600000/2250423\) | \(2417719258386487873125\) | \([]\) | \(18247680\) | \(2.8464\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190575d do not have complex multiplication.Modular form 190575.2.a.d
sage: E.q_eigenform(10)