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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 363090g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363090.g1 | 363090g1 | \([1, 1, 0, -1480413, 3434812767]\) | \(-149444756179371059449/2037022755391406250\) | \(-4890891635694766406250\) | \([]\) | \(26718720\) | \(2.8434\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363090g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 363090g do not have complex multiplication.Modular form 363090.2.a.g
sage: E.q_eigenform(10)