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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 290145bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
290145.bd1 | 290145bd1 | \([0, 1, 1, -570, -5431]\) | \(841232384/345\) | \(8414205\) | \([]\) | \(119168\) | \(0.29125\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290145bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 290145bd do not have complex multiplication.Modular form 290145.2.a.bd
sage: E.q_eigenform(10)