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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 10320w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 10320.r1 | 10320w1 | \([0, -1, 0, 1923679240, 214483616660592]\) | \(192203697666261893287480365959/4963160303408775168000000000\) | \(-20329104602762343088128000000000\) | \([]\) | \(25643520\) | \(4.6876\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10320w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10320w do not have complex multiplication.Modular form 10320.2.a.w
sage: E.q_eigenform(10)