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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 96600.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96600.a1 | 96600j1 | \([0, -1, 0, -833, 7772037]\) | \(-25600/10437147\) | \(-26092867500000000\) | \([]\) | \(691200\) | \(1.8289\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96600.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96600.a do not have complex multiplication.Modular form 96600.2.a.a
sage: E.q_eigenform(10)