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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 85008.ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85008.ca1 | 85008cf1 | \([0, 1, 0, -208, 1172]\) | \(-244140625/21252\) | \(-87048192\) | \([]\) | \(22272\) | \(0.26769\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85008.ca1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85008.ca do not have complex multiplication.Modular form 85008.2.a.ca
sage: E.q_eigenform(10)