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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 85008.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85008.m1 | 85008br1 | \([0, -1, 0, -1856, -304128]\) | \(-172715635009/9694992384\) | \(-39710688804864\) | \([]\) | \(168960\) | \(1.2893\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85008.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 85008.m do not have complex multiplication.Modular form 85008.2.a.m
sage: E.q_eigenform(10)