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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 98736co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98736.m1 | 98736co1 | \([0, -1, 0, 1291, -38487]\) | \(524288/1683\) | \(-763273513728\) | \([]\) | \(92160\) | \(0.96326\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736co1 has rank \(2\).
Complex multiplication
The elliptic curves in class 98736co do not have complex multiplication.Modular form 98736.2.a.co
sage: E.q_eigenform(10)