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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 96600.co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96600.co1 | 96600cc1 | \([0, 1, 0, -235208, -48318912]\) | \(-143906968900/17253243\) | \(-172532430000000000\) | \([]\) | \(1088640\) | \(2.0428\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96600.co1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96600.co do not have complex multiplication.Modular form 96600.2.a.co
sage: E.q_eigenform(10)