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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 6762.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6762.ba1 | 6762z1 | \([1, 1, 1, -43, -127]\) | \(-179706625/552\) | \(-27048\) | \([]\) | \(1008\) | \(-0.28116\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6762.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6762.ba do not have complex multiplication.Modular form 6762.2.a.ba
sage: E.q_eigenform(10)