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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 303600p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303600.p1 | 303600p1 | \([0, -1, 0, -252094008, -1540662073488]\) | \(-27684157359106812821041/2890879200000000\) | \(-185016268800000000000000\) | \([]\) | \(58392576\) | \(3.4966\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303600p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303600p do not have complex multiplication.Modular form 303600.2.a.p
sage: E.q_eigenform(10)