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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 96800co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96800.a1 | 96800co1 | \([0, 0, 0, -13915, 865150]\) | \(-2628072/1331\) | \(-150908652224000\) | \([]\) | \(599040\) | \(1.4255\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96800co1 has rank \(2\).
Complex multiplication
The elliptic curves in class 96800co do not have complex multiplication.Modular form 96800.2.a.co
sage: E.q_eigenform(10)