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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 60112e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60112.q1 | 60112e1 | \([0, 1, 0, -4720, 129076]\) | \(-235298/13\) | \(-642638637056\) | \([]\) | \(80640\) | \(1.0236\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60112e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 60112e do not have complex multiplication.Modular form 60112.2.a.e
sage: E.q_eigenform(10)