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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 106470.s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 106470.s1 | 106470ba1 | \([1, -1, 0, -16374026655, 806470438773325]\) | \(-4830912149265798523369/63026250000000\) | \(-6334065049713668426250000000\) | \([]\) | \(146764800\) | \(4.4791\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106470.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106470.s do not have complex multiplication.Modular form 106470.2.a.s
sage: E.q_eigenform(10)