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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 140679ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
140679.bc1 | 140679ba1 | \([1, -1, 0, -9, -109404]\) | \(-1/60291\) | \(-5170925201211\) | \([]\) | \(165888\) | \(1.1184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 140679ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 140679ba do not have complex multiplication.Modular form 140679.2.a.ba
sage: E.q_eigenform(10)