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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 242760.u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 242760.u1 | 242760u1 | \([0, -1, 0, -77337216521, 7652519284825821]\) | \(99119737773603628112896/8342404084423828125\) | \(4305468351815491058830012500000000\) | \([]\) | \(1370096640\) | \(5.1955\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 242760.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 242760.u do not have complex multiplication.Modular form 242760.2.a.u
sage: E.q_eigenform(10)