Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 400710.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
400710.n1 | 400710n1 | \([1, 0, 1, -12624539, -17266557274]\) | \(-4729863873908820529/99709470720\) | \(-4690919894066104320\) | \([]\) | \(28131840\) | \(2.7006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 400710.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 400710.n do not have complex multiplication.Modular form 400710.2.a.n
sage: E.q_eigenform(10)