Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 435344n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435344.n1 | 435344n1 | \([0, 1, 0, -9667701, -10337982173]\) | \(5054443262672896/591220696157\) | \(11688793608998391861248\) | \([]\) | \(50029056\) | \(2.9660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435344n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 435344n do not have complex multiplication.Modular form 435344.2.a.n
sage: E.q_eigenform(10)