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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 63175p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63175.o1 | 63175p1 | \([0, -1, 1, -1583, 23068]\) | \(622592/49\) | \(34548828125\) | \([]\) | \(51840\) | \(0.76599\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63175p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63175p do not have complex multiplication.Modular form 63175.2.a.p
sage: E.q_eigenform(10)