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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 226941m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
226941.k1 | 226941m1 | \([0, -1, 1, -14459, 854369]\) | \(-2258403328/799227\) | \(-118314279457803\) | \([]\) | \(591360\) | \(1.4113\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 226941m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 226941m do not have complex multiplication.Modular form 226941.2.a.m
sage: E.q_eigenform(10)