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SageMath
E = EllipticCurve("bp1")
E.isogeny_class()
Elliptic curves in class 42336bp
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 42336.d1 | 42336bp1 | \([0, 0, 0, -10584, 148176]\) | \(13824/7\) | \(66395327975424\) | \([]\) | \(110592\) | \(1.3447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42336bp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 42336bp do not have complex multiplication.Modular form 42336.2.a.bp
sage: E.q_eigenform(10)