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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 7440f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7440.s1 | 7440f1 | \([0, 1, 0, -256, 1940]\) | \(-909513218/338985\) | \(-694241280\) | \([]\) | \(3136\) | \(0.40656\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7440f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7440f do not have complex multiplication.Modular form 7440.2.a.f
sage: E.q_eigenform(10)