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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 370300.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
370300.bk1 | 370300bk1 | \([0, 0, 0, -529000, -152087500]\) | \(-221184/7\) | \(-518125611500000000\) | \([]\) | \(9060480\) | \(2.1753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 370300.bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 370300.bk do not have complex multiplication.Modular form 370300.2.a.bk
sage: E.q_eigenform(10)