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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 309168.u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 309168.u1 | 309168u1 | \([0, 0, 0, -603, 1674]\) | \(8120601/4294\) | \(12821815296\) | \([]\) | \(145152\) | \(0.63106\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 309168.u do not have complex multiplication.Modular form 309168.2.a.u
sage: E.q_eigenform(10)