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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 33462s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 33462.bb1 | 33462s1 | \([1, -1, 0, 95031, 12982477]\) | \(4558438520831/6147814464\) | \(-128003454372695616\) | \([]\) | \(258048\) | \(1.9683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33462s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33462s do not have complex multiplication.Modular form 33462.2.a.s
sage: E.q_eigenform(10)