Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 63175s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63175.p1 | 63175s1 | \([0, -1, 1, -22863, -1229222]\) | \(622592/49\) | \(104024323626125\) | \([]\) | \(196992\) | \(1.4335\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63175s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63175s do not have complex multiplication.Modular form 63175.2.a.s
sage: E.q_eigenform(10)