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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 212160.da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212160.da1 | 212160gq1 | \([0, -1, 0, -575, -5415]\) | \(-329080651264/21749715\) | \(-1391981760\) | \([]\) | \(80640\) | \(0.50681\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212160.da1 has rank \(0\).
Complex multiplication
The elliptic curves in class 212160.da do not have complex multiplication.Modular form 212160.2.a.da
sage: E.q_eigenform(10)