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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 150075.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.ba1 | 150075t1 | \([0, 0, 1, -22054800, -39866014719]\) | \(-104156296498930253824/6513671875\) | \(-74194793701171875\) | \([]\) | \(3778560\) | \(2.6977\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150075.ba do not have complex multiplication.Modular form 150075.2.a.ba
sage: E.q_eigenform(10)