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SageMath
E = EllipticCurve("em1")
E.isogeny_class()
Elliptic curves in class 77616em
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77616.v1 | 77616em1 | \([0, 0, 0, -34359339, 80364797786]\) | \(-260607143968297/11270993184\) | \(-194014408274931072761856\) | \([]\) | \(11289600\) | \(3.2342\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77616em1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77616em do not have complex multiplication.Modular form 77616.2.a.em
sage: E.q_eigenform(10)