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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 279174.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.ba1 | 279174ba1 | \([1, 0, 1, 72218, -7563010]\) | \(144135475374099527/169049655861534\) | \(-48855350543983326\) | \([]\) | \(2799360\) | \(1.8886\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174.ba1 has rank \(2\).
Complex multiplication
The elliptic curves in class 279174.ba do not have complex multiplication.Modular form 279174.2.a.ba
sage: E.q_eigenform(10)