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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 348726bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.bd1 | 348726bd1 | \([1, 0, 1, -222023, 40384874]\) | \(-25727239787761/101406816\) | \(-4770772998124896\) | \([]\) | \(2488320\) | \(1.8660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348726bd do not have complex multiplication.Modular form 348726.2.a.bd
sage: E.q_eigenform(10)