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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 36414.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.bo1 | 36414bj1 | \([1, -1, 0, -5732658, 5415249492]\) | \(-1184052061112257/34349180544\) | \(-604418066580733743744\) | \([]\) | \(1935360\) | \(2.7668\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36414.bo do not have complex multiplication.Modular form 36414.2.a.bo
sage: E.q_eigenform(10)