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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 190608da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190608.r1 | 190608da1 | \([0, -1, 0, 11432, -1056032]\) | \(9500/33\) | \(-573908562281472\) | \([]\) | \(656640\) | \(1.5150\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190608da1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190608da do not have complex multiplication.Modular form 190608.2.a.da
sage: E.q_eigenform(10)