Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 145794.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145794.w1 | 145794bb1 | \([1, 0, 1, -12716155, 17452006118]\) | \(9550107022633/256608\) | \(6110166647701166688\) | \([]\) | \(7580160\) | \(2.7093\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145794.w do not have complex multiplication.Modular form 145794.2.a.w
sage: E.q_eigenform(10)