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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 338130do
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.do1 | 338130do1 | \([1, -1, 1, -101927, 12707551]\) | \(-71236154187/1040000\) | \(-1709701596720000\) | \([]\) | \(1983744\) | \(1.7272\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130do1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338130do do not have complex multiplication.Modular form 338130.2.a.do
sage: E.q_eigenform(10)