Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 145200.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145200.c1 | 145200eq1 | \([0, -1, 0, 1412, -21668]\) | \(27440/33\) | \(-374153683200\) | \([]\) | \(276480\) | \(0.90685\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145200.c do not have complex multiplication.Modular form 145200.2.a.c
sage: E.q_eigenform(10)