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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 19600.da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19600.da1 | 19600n1 | \([0, 1, 0, -3033, -65437]\) | \(-2249728/5\) | \(-6860000000\) | \([]\) | \(18432\) | \(0.77016\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19600.da1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19600.da do not have complex multiplication.Modular form 19600.2.a.da
sage: E.q_eigenform(10)