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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 269080ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
269080.ba1 | 269080ba1 | \([0, 0, 0, -395932, -98786956]\) | \(-30211716096/1071875\) | \(-243531010066400000\) | \([]\) | \(7257600\) | \(2.1085\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 269080ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 269080ba do not have complex multiplication.Modular form 269080.2.a.ba
sage: E.q_eigenform(10)