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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 222180.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
222180.k1 | 222180q1 | \([0, 1, 0, -61, -385]\) | \(-188416/315\) | \(-42658560\) | \([]\) | \(62208\) | \(0.15485\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 222180.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 222180.k do not have complex multiplication.Modular form 222180.2.a.k
sage: E.q_eigenform(10)