Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 350658.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.t1 | 350658t1 | \([1, -1, 0, -14045400, -20248177856]\) | \(237269779307308441/118849798144\) | \(153490707425091649536\) | \([]\) | \(19468800\) | \(2.8260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658.t do not have complex multiplication.Modular form 350658.2.a.t
sage: E.q_eigenform(10)