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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 297920d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
297920.d1 | 297920d1 | \([0, 0, 0, -149548, -23768528]\) | \(-11993263569/972800\) | \(-30002104814796800\) | \([]\) | \(3953664\) | \(1.9079\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 297920d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 297920d do not have complex multiplication.Modular form 297920.2.a.d
sage: E.q_eigenform(10)