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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 162288f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.o1 | 162288f1 | \([0, 0, 0, -4847619, -4120034366]\) | \(-14936239633/50301\) | \(-42427212134247714816\) | \([]\) | \(4816896\) | \(2.6306\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162288f do not have complex multiplication.Modular form 162288.2.a.f
sage: E.q_eigenform(10)