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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 9702.ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9702.ce1 | 9702cd1 | \([1, -1, 1, -43826, 3671889]\) | \(-260607143968297/11270993184\) | \(-402611147525664\) | \([]\) | \(67200\) | \(1.5681\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9702.ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9702.ce do not have complex multiplication.Modular form 9702.2.a.ce
sage: E.q_eigenform(10)