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SageMath
E = EllipticCurve("dw1")
E.isogeny_class()
Elliptic curves in class 97344.dw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97344.dw1 | 97344bg1 | \([0, 0, 0, -99372, 12619568]\) | \(-235298/13\) | \(-5995714169143296\) | \([]\) | \(645120\) | \(1.7853\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97344.dw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97344.dw do not have complex multiplication.Modular form 97344.2.a.dw
sage: E.q_eigenform(10)