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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 42336p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 42336.h1 | 42336p1 | \([0, 0, 0, 10584, 148176]\) | \(1536\) | \(-85365421682688\) | \([]\) | \(108864\) | \(1.3620\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 42336p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 42336p do not have complex multiplication.Modular form 42336.2.a.p
sage: E.q_eigenform(10)