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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 140790.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
140790.ba1 | 140790bt1 | \([1, 0, 1, 274162, -11365312]\) | \(6313069436781782159/3808593750000000\) | \(-1374902343750000000\) | \([]\) | \(2741760\) | \(2.1697\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 140790.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 140790.ba do not have complex multiplication.Modular form 140790.2.a.ba
sage: E.q_eigenform(10)