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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 11200.da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11200.da1 | 11200dg1 | \([0, -1, 0, -2833, 138537]\) | \(-6288640/16807\) | \(-6722800000000\) | \([]\) | \(19200\) | \(1.1489\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11200.da1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11200.da do not have complex multiplication.Modular form 11200.2.a.da
sage: E.q_eigenform(10)