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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 97104.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97104.ba1 | 97104d1 | \([0, -1, 0, -27490065, -55467695331]\) | \(-371806976516936704/89266779\) | \(-551598857605184256\) | \([]\) | \(3096576\) | \(2.7823\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97104.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97104.ba do not have complex multiplication.Modular form 97104.2.a.ba
sage: E.q_eigenform(10)