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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 277335e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277335.e1 | 277335e1 | \([0, 0, 1, -147, -855]\) | \(-481890304/154075\) | \(-112320675\) | \([]\) | \(194304\) | \(0.25763\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277335e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277335e do not have complex multiplication.Modular form 277335.2.a.e
sage: E.q_eigenform(10)