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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 432450do
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
432450.do1 | 432450do1 | \([1, -1, 0, -44006292, -126903662384]\) | \(-932288503609/148800000\) | \(-1504252176518925000000000\) | \([]\) | \(66355200\) | \(3.3673\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 432450do1 has rank \(1\).
Complex multiplication
The elliptic curves in class 432450do do not have complex multiplication.Modular form 432450.2.a.do
sage: E.q_eigenform(10)