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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 64400.bp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.bp1 | 64400cj1 | \([0, 0, 0, 14725, -164950]\) | \(137927116575/84410368\) | \(-216090542080000\) | \([]\) | \(175104\) | \(1.4397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400.bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64400.bp do not have complex multiplication.Modular form 64400.2.a.bp
sage: E.q_eigenform(10)