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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 96600.cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96600.cr1 | 96600cs1 | \([0, 1, 0, -483, -6762]\) | \(-1248716800/1159683\) | \(-11596830000\) | \([]\) | \(62400\) | \(0.62772\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96600.cr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96600.cr do not have complex multiplication.Modular form 96600.2.a.cr
sage: E.q_eigenform(10)