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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 405600ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.ce1 | 405600ce1 | \([0, -1, 0, 11267, -752363]\) | \(12800/27\) | \(-333629038080000\) | \([]\) | \(1292544\) | \(1.4711\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 405600ce do not have complex multiplication.Modular form 405600.2.a.ce
sage: E.q_eigenform(10)