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SageMath
E = EllipticCurve("fb1")
E.isogeny_class()
Elliptic curves in class 455175.fb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.fb1 | 455175fb1 | \([1, -1, 0, -16420167, 12371411866]\) | \(6161940649/2734375\) | \(217268617074114990234375\) | \([]\) | \(63452160\) | \(3.1736\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175.fb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 455175.fb do not have complex multiplication.Modular form 455175.2.a.fb
sage: E.q_eigenform(10)