Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 35378.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35378.i1 | 35378m1 | \([1, -1, 1, -21006, -26535435]\) | \(-27/8\) | \(-303711079648012568\) | \([]\) | \(752400\) | \(2.0338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35378.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35378.i do not have complex multiplication.Modular form 35378.2.a.i
sage: E.q_eigenform(10)