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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 254100ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254100.ba1 | 254100ba1 | \([0, -1, 0, -23833, 1463662]\) | \(-1979760640/64827\) | \(-49025418750000\) | \([]\) | \(933120\) | \(1.4020\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254100ba do not have complex multiplication.Modular form 254100.2.a.ba
sage: E.q_eigenform(10)