Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 4536.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4536.c1 | 4536j1 | \([0, 0, 0, -171, -954]\) | \(-370386/49\) | \(-73156608\) | \([]\) | \(1440\) | \(0.24182\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4536.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4536.c do not have complex multiplication.Modular form 4536.2.a.c
sage: E.q_eigenform(10)