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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 363726k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363726.k1 | 363726k1 | \([1, -1, 0, -209655, 37000849]\) | \(789145184521/22044\) | \(28469119908636\) | \([]\) | \(1843200\) | \(1.6841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363726k1 has rank \(2\).
Complex multiplication
The elliptic curves in class 363726k do not have complex multiplication.Modular form 363726.2.a.k
sage: E.q_eigenform(10)