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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 154075.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
154075.d1 | 154075d1 | \([0, -1, 1, -408, 4093]\) | \(-481890304/154075\) | \(-2407421875\) | \([]\) | \(194304\) | \(0.51305\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 154075.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 154075.d do not have complex multiplication.Modular form 154075.2.a.d
sage: E.q_eigenform(10)