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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 60840.u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 60840.u1 | 60840bh1 | \([0, 0, 0, 281892, 1495620932]\) | \(74251994112/29007265625\) | \(-967766612779980000000\) | \([]\) | \(2257920\) | \(2.7059\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60840.u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 60840.u do not have complex multiplication.Modular form 60840.2.a.u
sage: E.q_eigenform(10)