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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 235950.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235950.ba1 | 235950ba1 | \([1, 1, 0, -27196325, 57972442125]\) | \(-3214683778008145/238496514048\) | \(-165043407391948800000000\) | \([]\) | \(24729600\) | \(3.2039\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235950.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235950.ba do not have complex multiplication.Modular form 235950.2.a.ba
sage: E.q_eigenform(10)