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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 88445ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.bd1 | 88445ba1 | \([1, 1, 0, -637172, -180980141]\) | \(292201/25\) | \(2447671530057996025\) | \([]\) | \(1378944\) | \(2.2697\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88445ba do not have complex multiplication.Modular form 88445.2.a.ba
sage: E.q_eigenform(10)