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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 215600.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215600.ba1 | 215600q1 | \([0, 1, 0, -2333, -32537]\) | \(40960/11\) | \(377300000000\) | \([]\) | \(299520\) | \(0.92955\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215600.ba1 has rank \(2\).
Complex multiplication
The elliptic curves in class 215600.ba do not have complex multiplication.Modular form 215600.2.a.ba
sage: E.q_eigenform(10)