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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 145794.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145794.bb1 | 145794j1 | \([1, 1, 1, -175774594, -1713776527345]\) | \(-55719200359209436993/85452760683683712\) | \(-921113707866931988578021248\) | \([]\) | \(103864320\) | \(3.8655\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145794.bb do not have complex multiplication.Modular form 145794.2.a.bb
sage: E.q_eigenform(10)