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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 112710n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.p1 | 112710n1 | \([1, 1, 0, 768, 14976]\) | \(172991854871/421200000\) | \(-121726800000\) | \([]\) | \(100800\) | \(0.81098\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 112710n do not have complex multiplication.Modular form 112710.2.a.n
sage: E.q_eigenform(10)