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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 72450.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72450.d1 | 72450bb1 | \([1, -1, 0, -1154592, 480162816]\) | \(-14943832855786297/85501108224\) | \(-973911060864000000\) | \([]\) | \(1347840\) | \(2.2934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72450.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72450.d do not have complex multiplication.Modular form 72450.2.a.d
sage: E.q_eigenform(10)