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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 15030.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15030.p1 | 15030n1 | \([1, -1, 1, -2642, -51631]\) | \(-2796665386969/1923840\) | \(-1402479360\) | \([]\) | \(15360\) | \(0.69242\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15030.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15030.p do not have complex multiplication.Modular form 15030.2.a.p
sage: E.q_eigenform(10)