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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 57330.da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57330.da1 | 57330by1 | \([1, -1, 0, -114669, 16193925]\) | \(-39678209809/3900000\) | \(-16389905723100000\) | \([]\) | \(537600\) | \(1.8521\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57330.da1 has rank \(1\).
Complex multiplication
The elliptic curves in class 57330.da do not have complex multiplication.Modular form 57330.2.a.da
sage: E.q_eigenform(10)