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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 379050.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.e1 | 379050e1 | \([1, 1, 0, -8500, -12407600]\) | \(-15845994475/15495785088\) | \(-66428493699120000\) | \([]\) | \(4112640\) | \(1.9069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.e do not have complex multiplication.Modular form 379050.2.a.e
sage: E.q_eigenform(10)