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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 169065.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169065.q1 | 169065q1 | \([0, 0, 1, -2086002, 1876221885]\) | \(-1540318675894272/1442042265625\) | \(-939799656560873671875\) | \([]\) | \(6128640\) | \(2.7208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169065.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 169065.q do not have complex multiplication.Modular form 169065.2.a.q
sage: E.q_eigenform(10)