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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 14400c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14400.de1 | 14400c1 | \([0, 0, 0, -2160, -38880]\) | \(-138240\) | \(-8062156800\) | \([]\) | \(9216\) | \(0.73293\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14400c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14400c do not have complex multiplication.Modular form 14400.2.a.c
sage: E.q_eigenform(10)