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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 266616ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
266616.ba1 | 266616ba1 | \([0, 0, 0, -134895, 19187359]\) | \(-157216000/1127\) | \(-1945980316676592\) | \([]\) | \(1520640\) | \(1.7661\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266616ba1 has rank \(2\).
Complex multiplication
The elliptic curves in class 266616ba do not have complex multiplication.Modular form 266616.2.a.ba
sage: E.q_eigenform(10)