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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 58870p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58870.p1 | 58870p1 | \([1, -1, 1, -64580548, 201154727247]\) | \(-59544945263727729/478515625000\) | \(-239375724952041015625000\) | \([]\) | \(8686080\) | \(3.3138\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58870p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 58870p do not have complex multiplication.Modular form 58870.2.a.p
sage: E.q_eigenform(10)