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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 83490p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83490.q1 | 83490p1 | \([1, 1, 0, -76258437, -256373407539]\) | \(-27684157359106812821041/2890879200000000\) | \(-5121368846431200000000\) | \([]\) | \(12165120\) | \(3.1976\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83490p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83490p do not have complex multiplication.Modular form 83490.2.a.p
sage: E.q_eigenform(10)