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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 450800w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 450800.w1 | 450800w1 | \([0, 1, 0, -34114208, -77117374412]\) | \(-1942939229/12167\) | \(-27495010836664000000000\) | \([]\) | \(36126720\) | \(3.1437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450800w do not have complex multiplication.Modular form 450800.2.a.w
sage: E.q_eigenform(10)