Show commands:
SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 348480.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348480.r1 | 348480r1 | \([0, 0, 0, 132, -1672]\) | \(2816/15\) | \(-1354890240\) | \([]\) | \(122880\) | \(0.43436\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348480.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348480.r do not have complex multiplication.Modular form 348480.2.a.r
sage: E.q_eigenform(10)