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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 417450.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
417450.d1 | 417450d1 | \([1, 1, 0, 5216550, 12068596500]\) | \(187487444375/859671552\) | \(-71983684341505200000000\) | \([]\) | \(62092800\) | \(3.0683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 417450.d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 417450.d do not have complex multiplication.Modular form 417450.2.a.d
sage: E.q_eigenform(10)