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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 471510.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
471510.p1 | 471510p1 | \([1, -1, 0, -46269105, -121156445539]\) | \(-115304327640815067/31726223360\) | \(-3014184163718496337920\) | \([]\) | \(47416320\) | \(3.1038\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 471510.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 471510.p do not have complex multiplication.Modular form 471510.2.a.p
sage: E.q_eigenform(10)