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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 318402.u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 318402.u1 | 318402u1 | \([1, -1, 0, 212200245, -953777852091]\) | \(628805222251722551/597713542447104\) | \(-1004473097948951210732027904\) | \([]\) | \(162570240\) | \(3.8683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 318402.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 318402.u do not have complex multiplication.Modular form 318402.2.a.u
sage: E.q_eigenform(10)