Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 14440c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14440.e1 | 14440c1 | \([0, -1, 0, -317800, 69427052]\) | \(-102053522/625\) | \(-21738960692480000\) | \([]\) | \(142272\) | \(1.9737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14440c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14440c do not have complex multiplication.Modular form 14440.2.a.c
sage: E.q_eigenform(10)