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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 14784bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14784.s1 | 14784bp1 | \([0, -1, 0, 55, 33]\) | \(17643776/11319\) | \(-11590656\) | \([]\) | \(2304\) | \(0.044419\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14784bp1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14784bp do not have complex multiplication.Modular form 14784.2.a.bp
sage: E.q_eigenform(10)