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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 75810d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75810.e1 | 75810d1 | \([1, 1, 0, 30317, 225253]\) | \(65499561791/38319960\) | \(-1802796278084760\) | \([]\) | \(432000\) | \(1.6168\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75810d do not have complex multiplication.Modular form 75810.2.a.d
sage: E.q_eigenform(10)