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SageMath
E = EllipticCurve("dw1")
E.isogeny_class()
Elliptic curves in class 119952.dw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.dw1 | 119952gg1 | \([0, 0, 0, 387933, -87967838]\) | \(53582633/58752\) | \(-7079335450051608576\) | \([]\) | \(1806336\) | \(2.3035\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952.dw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 119952.dw do not have complex multiplication.Modular form 119952.2.a.dw
sage: E.q_eigenform(10)