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SageMath
E = EllipticCurve("fb1")
E.isogeny_class()
Elliptic curves in class 226512.fb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
226512.fb1 | 226512cn1 | \([0, 0, 0, -2739, 34738]\) | \(6289657/2197\) | \(793785028608\) | \([]\) | \(276480\) | \(0.98481\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 226512.fb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 226512.fb do not have complex multiplication.Modular form 226512.2.a.fb
sage: E.q_eigenform(10)