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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 270802u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 270802.u1 | 270802u1 | \([1, 0, 0, 180377, -45505541]\) | \(1297427375/2540258\) | \(-1270754952495483938\) | \([]\) | \(2951040\) | \(2.1584\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270802u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 270802u do not have complex multiplication.Modular form 270802.2.a.u
sage: E.q_eigenform(10)