Show commands:
SageMath
E = EllipticCurve("kr1")
E.isogeny_class()
Elliptic curves in class 187200kr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.l1 | 187200kr1 | \([0, 0, 0, 1140, 3760]\) | \(274360/169\) | \(-100926259200\) | \([]\) | \(207360\) | \(0.80062\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200kr1 has rank \(2\).
Complex multiplication
The elliptic curves in class 187200kr do not have complex multiplication.Modular form 187200.2.a.kr
sage: E.q_eigenform(10)