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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 40080.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40080.a1 | 40080e1 | \([0, -1, 0, -3172691, -2175002370]\) | \(-220743129979978267961344/106527664695940875\) | \(-1704442635135054000\) | \([]\) | \(1090560\) | \(2.4528\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40080.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40080.a do not have complex multiplication.Modular form 40080.2.a.a
sage: E.q_eigenform(10)