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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 338130u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 338130.u1 | 338130u1 | \([1, -1, 0, -626895, -198963635]\) | \(-1548415333009/77332320\) | \(-1360761759039028320\) | \([]\) | \(5160960\) | \(2.2406\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130u do not have complex multiplication.Modular form 338130.2.a.u
sage: E.q_eigenform(10)