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SageMath
E = EllipticCurve("eb1")
E.isogeny_class()
Elliptic curves in class 379050.eb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.eb1 | 379050eb1 | \([1, 0, 1, -8710216, 9891773078]\) | \(34424813393549/7838208\) | \(16640087462058816000\) | \([]\) | \(19305216\) | \(2.6801\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.eb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.eb do not have complex multiplication.Modular form 379050.2.a.eb
sage: E.q_eigenform(10)