Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 148120f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
148120.h1 | 148120f1 | \([0, 1, 0, -46510385, 110119425283]\) | \(555022860645376/59814453125\) | \(1199136962115312500000000\) | \([]\) | \(25259520\) | \(3.3544\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148120f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 148120f do not have complex multiplication.Modular form 148120.2.a.f
sage: E.q_eigenform(10)