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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 246202.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
246202.b1 | 246202b1 | \([1, -1, 0, 20436665, -105824992067]\) | \(137623619399231089568709/784916686600277884928\) | \(-5383743553391306012721152\) | \([]\) | \(156960000\) | \(3.4274\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 246202.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 246202.b do not have complex multiplication.Modular form 246202.2.a.b
sage: E.q_eigenform(10)