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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 28175ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28175.r1 | 28175ba1 | \([0, -1, 1, -420583, -104853932]\) | \(-35806478336/3703\) | \(-850887201171875\) | \([]\) | \(130560\) | \(1.8973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28175ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28175ba do not have complex multiplication.Modular form 28175.2.a.ba
sage: E.q_eigenform(10)