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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 248430d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248430.d1 | 248430d1 | \([1, 1, 0, -5268, -148728]\) | \(813420049/4200\) | \(83507260200\) | \([]\) | \(387072\) | \(0.94144\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248430d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 248430d do not have complex multiplication.Modular form 248430.2.a.d
sage: E.q_eigenform(10)