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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 28830bl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28830.bo1 | 28830bl1 | \([1, 0, 0, -22152031, -40340461855]\) | \(-1354547383894636849/8173828125000\) | \(-7254302548798828125000\) | \([]\) | \(4492800\) | \(3.0342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28830bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28830bl do not have complex multiplication.Modular form 28830.2.a.bl
sage: E.q_eigenform(10)