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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 35574.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35574.ba1 | 35574t1 | \([1, 0, 1, -17911, 921050]\) | \(18075297625/1152\) | \(40496303232\) | \([]\) | \(80640\) | \(1.0934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35574.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35574.ba do not have complex multiplication.Modular form 35574.2.a.ba
sage: E.q_eigenform(10)