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SageMath
E = EllipticCurve("ee1")
E.isogeny_class()
Elliptic curves in class 19600ee
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19600.a1 | 19600ee1 | \([0, 0, 0, -1960, 34300]\) | \(-221184/7\) | \(-26353376000\) | \([]\) | \(27648\) | \(0.77577\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19600ee1 has rank \(2\).
Complex multiplication
The elliptic curves in class 19600ee do not have complex multiplication.Modular form 19600.2.a.ee
sage: E.q_eigenform(10)