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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 338130.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.w1 | 338130w1 | \([1, -1, 0, -10305, -401459]\) | \(-574468255729/2284880\) | \(-481380803280\) | \([]\) | \(587520\) | \(1.0988\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 338130.w do not have complex multiplication.Modular form 338130.2.a.w
sage: E.q_eigenform(10)