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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 31950r
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 31950.bf1 | 31950r1 | \([1, -1, 0, -590892, -173959984]\) | \(2003092024307193/9529458688\) | \(108546490368000000\) | \([]\) | \(580608\) | \(2.1181\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31950r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 31950r do not have complex multiplication.Modular form 31950.2.a.r
sage: E.q_eigenform(10)