Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 400710.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
400710.s1 | 400710s1 | \([1, 0, 1, -46938, -3991412]\) | \(-243087455521/5328000\) | \(-250660453968000\) | \([]\) | \(2201472\) | \(1.5521\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 400710.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 400710.s do not have complex multiplication.Modular form 400710.2.a.s
sage: E.q_eigenform(10)