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SageMath
E = EllipticCurve("dw1")
E.isogeny_class()
Elliptic curves in class 205350dw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
205350.g1 | 205350dw1 | \([1, 1, 0, -1229390, -525006180]\) | \(63246685/24\) | \(77977043877046200\) | \([]\) | \(4027968\) | \(2.2076\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 205350dw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 205350dw do not have complex multiplication.Modular form 205350.2.a.dw
sage: E.q_eigenform(10)