Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 18562c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18562.a1 | 18562c1 | \([1, 0, 1, -20, 30]\) | \(822656953/37124\) | \(37124\) | \([]\) | \(4720\) | \(-0.36092\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18562c1 has rank \(3\).
Complex multiplication
The elliptic curves in class 18562c do not have complex multiplication.Modular form 18562.2.a.c
sage: E.q_eigenform(10)