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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 13872ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13872.d1 | 13872ba1 | \([0, -1, 0, 6551, -147572]\) | \(278528/243\) | \(-27121744930608\) | \([]\) | \(36720\) | \(1.2651\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13872ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13872ba do not have complex multiplication.Modular form 13872.2.a.ba
sage: E.q_eigenform(10)