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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 67270bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67270.w1 | 67270bl1 | \([1, -1, 1, -2187432, 561639531]\) | \(38854571866060040271/17920000000000000\) | \(533854720000000000000\) | \([]\) | \(7128576\) | \(2.6719\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67270bl1 has rank \(2\).
Complex multiplication
The elliptic curves in class 67270bl do not have complex multiplication.Modular form 67270.2.a.bl
sage: E.q_eigenform(10)