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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 67830.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67830.b1 | 67830a1 | \([1, 1, 0, -6106725383, 183726343374837]\) | \(-25185401773789197278213465569991929/7838140867990423200000000000\) | \(-7838140867990423200000000000\) | \([]\) | \(98017920\) | \(4.3286\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67830.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67830.b do not have complex multiplication.Modular form 67830.2.a.b
sage: E.q_eigenform(10)