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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 35234.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35234.b1 | 35234a1 | \([1, 1, 0, -181, 749]\) | \(661459323097/89071552\) | \(89071552\) | \([]\) | \(16896\) | \(0.25280\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35234.b1 has rank \(3\).
Complex multiplication
The elliptic curves in class 35234.b do not have complex multiplication.Modular form 35234.2.a.b
sage: E.q_eigenform(10)