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SageMath
E = EllipticCurve("eo1")
E.isogeny_class()
Elliptic curves in class 405720.eo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405720.eo1 | 405720eo1 | \([0, 0, 0, -147, 21854]\) | \(-196/115\) | \(-206118743040\) | \([]\) | \(308736\) | \(0.85006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405720.eo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405720.eo do not have complex multiplication.Modular form 405720.2.a.eo
sage: E.q_eigenform(10)