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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 79350.ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.ce1 | 79350cy1 | \([1, 1, 1, -9727263, -14162703969]\) | \(-144672215/39366\) | \(-27696943621543928906250\) | \([]\) | \(8346240\) | \(3.0224\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 79350.ce do not have complex multiplication.Modular form 79350.2.a.ce
sage: E.q_eigenform(10)