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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 16224.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16224.m1 | 16224x1 | \([0, 1, 0, 35, -181]\) | \(6656/27\) | \(-18690048\) | \([]\) | \(5760\) | \(0.077948\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16224.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 16224.m do not have complex multiplication.Modular form 16224.2.a.m
sage: E.q_eigenform(10)