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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 150075bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.bk1 | 150075bl1 | \([0, 0, 1, -15285, 728671]\) | \(-21669680312320/45436707\) | \(-828083985075\) | \([]\) | \(649728\) | \(1.1722\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 150075bl do not have complex multiplication.Modular form 150075.2.a.bl
sage: E.q_eigenform(10)