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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 222180.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
222180.m1 | 222180k1 | \([0, 1, 0, -129781, 14840135]\) | \(12058624/2205\) | \(44204984971418880\) | \([]\) | \(1695744\) | \(1.9126\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 222180.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 222180.m do not have complex multiplication.Modular form 222180.2.a.m
sage: E.q_eigenform(10)