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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 118300.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
118300.w1 | 118300e1 | \([0, 0, 0, -845, 10985]\) | \(-34560/7\) | \(-13515065200\) | \([]\) | \(69120\) | \(0.66640\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 118300.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 118300.w do not have complex multiplication.Modular form 118300.2.a.w
sage: E.q_eigenform(10)