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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 324870p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
324870.p1 | 324870p1 | \([1, 1, 0, -28630333, 58979725813]\) | \(-22060466590585704046921/11931886863088920\) | \(-1403774557555548349080\) | \([]\) | \(42301440\) | \(3.0067\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 324870p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 324870p do not have complex multiplication.Modular form 324870.2.a.p
sage: E.q_eigenform(10)