Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 102550.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.b1 | 102550m1 | \([1, -1, 0, -72217, -7451759]\) | \(-66644667756984825/137884628\) | \(-86177892500\) | \([]\) | \(616896\) | \(1.3479\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102550.b do not have complex multiplication.Modular form 102550.2.a.b
sage: E.q_eigenform(10)