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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 21660.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21660.ba1 | 21660be1 | \([0, 1, 0, 9190, -6440475]\) | \(14859212843264/3113912109375\) | \(-17985956343750000\) | \([]\) | \(126360\) | \(1.7983\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21660.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21660.ba do not have complex multiplication.Modular form 21660.2.a.ba
sage: E.q_eigenform(10)