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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 259182q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.q1 | 259182q1 | \([1, -1, 0, -19753630386, -1070679167759404]\) | \(-660056090712855266747143737/1485524867054684667904\) | \(-1918507782954108619993418366976\) | \([]\) | \(877363200\) | \(4.6929\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 259182q do not have complex multiplication.Modular form 259182.2.a.q
sage: E.q_eigenform(10)