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SageMath
E = EllipticCurve("cm1")
E.isogeny_class()
Elliptic curves in class 29400cm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.bc1 | 29400cm1 | \([0, -1, 0, 17967, 1066437]\) | \(3272428544/4428675\) | \(-868020300000000\) | \([]\) | \(101376\) | \(1.5522\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400cm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400cm do not have complex multiplication.Modular form 29400.2.a.cm
sage: E.q_eigenform(10)