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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 115542v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 115542.k1 | 115542v1 | \([1, -1, 0, -379710, 89240724]\) | \(70593496254289/824180736\) | \(70686784729645056\) | \([]\) | \(1330560\) | \(2.0454\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 115542v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 115542v do not have complex multiplication.Modular form 115542.2.a.v
sage: E.q_eigenform(10)