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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 96600.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96600.j1 | 96600r1 | \([0, -1, 0, -2429833, 1461945037]\) | \(-15865478279879680/41425036443\) | \(-4142503644300000000\) | \([]\) | \(2257920\) | \(2.4479\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96600.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96600.j do not have complex multiplication.Modular form 96600.2.a.j
sage: E.q_eigenform(10)