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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 265200.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265200.a1 | 265200a1 | \([0, -1, 0, -30009408, 63286143687]\) | \(-11955176777615838640384/182216460684375\) | \(-45554115171093750000\) | \([]\) | \(29952000\) | \(2.9080\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265200.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 265200.a do not have complex multiplication.Modular form 265200.2.a.a
sage: E.q_eigenform(10)