Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 143745v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
143745.o1 | 143745v1 | \([0, -1, 1, -20991, 1687457]\) | \(-398688256/244755\) | \(-627974367234795\) | \([]\) | \(459648\) | \(1.5414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 143745v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 143745v do not have complex multiplication.Modular form 143745.2.a.v
sage: E.q_eigenform(10)