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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 58870u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 58870.w1 | 58870u1 | \([1, 1, 1, -36630, -2760685]\) | \(-6463075262907481/131533373440\) | \(-110619567063040\) | \([]\) | \(389760\) | \(1.4867\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58870u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58870u do not have complex multiplication.Modular form 58870.2.a.u
sage: E.q_eigenform(10)