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SageMath
E = EllipticCurve("ft1")
E.isogeny_class()
Elliptic curves in class 291312ft
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
291312.ft1 | 291312ft1 | \([0, 0, 0, 40749, 3796882]\) | \(30004847/42336\) | \(-10558275362095104\) | \([]\) | \(1658880\) | \(1.7602\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 291312ft1 has rank \(1\).
Complex multiplication
The elliptic curves in class 291312ft do not have complex multiplication.Modular form 291312.2.a.ft
sage: E.q_eigenform(10)