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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 68800.cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
68800.cr1 | 68800bc1 | \([0, 0, 0, 25300, -386000]\) | \(437245479/268750\) | \(-1100800000000000\) | \([]\) | \(184320\) | \(1.5754\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68800.cr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 68800.cr do not have complex multiplication.Modular form 68800.2.a.cr
sage: E.q_eigenform(10)