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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 60984.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60984.bp1 | 60984t1 | \([0, 0, 0, -257367, -50374357]\) | \(-91238612224/251559\) | \(-5198086253018736\) | \([]\) | \(276480\) | \(1.8887\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60984.bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 60984.bp do not have complex multiplication.Modular form 60984.2.a.bp
sage: E.q_eigenform(10)