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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 350064.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350064.w1 | 350064w1 | \([0, 0, 0, -339483, 158832074]\) | \(-1449073218392281/2811246362496\) | \(-8394336658471256064\) | \([]\) | \(6709248\) | \(2.3208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350064.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 350064.w do not have complex multiplication.Modular form 350064.2.a.w
sage: E.q_eigenform(10)