Show commands:
SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 193200.cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
193200.cl1 | 193200dw1 | \([0, -1, 0, -246008, 47206512]\) | \(-25727239787761/101406816\) | \(-6490036224000000\) | \([]\) | \(1209600\) | \(1.8916\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 193200.cl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 193200.cl do not have complex multiplication.Modular form 193200.2.a.cl
sage: E.q_eigenform(10)