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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 481338w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
481338.w1 | 481338w1 | \([1, -1, 0, -617667, -265232467]\) | \(-51046875/30056\) | \(-15344379327036093048\) | \([]\) | \(8895744\) | \(2.3840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 481338w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 481338w do not have complex multiplication.Modular form 481338.2.a.w
sage: E.q_eigenform(10)