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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 485100.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485100.a1 | 485100a1 | \([0, 0, 0, -334425, -102942875]\) | \(-562432/297\) | \(-2184270128097750000\) | \([]\) | \(9031680\) | \(2.2232\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485100.a do not have complex multiplication.Modular form 485100.2.a.a
sage: E.q_eigenform(10)