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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 112710i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.s1 | 112710i1 | \([1, 1, 0, 6123, -136851]\) | \(87822908801351/79872000000\) | \(-23083008000000\) | \([]\) | \(279072\) | \(1.2515\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112710i do not have complex multiplication.Modular form 112710.2.a.i
sage: E.q_eigenform(10)