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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 93058p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93058.p1 | 93058p1 | \([1, -1, 1, -976152, 266454175]\) | \(14746340891601/4145004892\) | \(28914548718350401372\) | \([]\) | \(7461504\) | \(2.4412\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93058p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93058p do not have complex multiplication.Modular form 93058.2.a.p
sage: E.q_eigenform(10)