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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 4410.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4410.ba1 | 4410bc1 | \([1, -1, 1, -270563, 144803747]\) | \(-10637008249/37791360\) | \(-7782165269189458560\) | \([]\) | \(94080\) | \(2.3108\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4410.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4410.ba do not have complex multiplication.Modular form 4410.2.a.ba
sage: E.q_eigenform(10)