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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 27048l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27048.w1 | 27048l1 | \([0, 1, 0, -19224, 1450224]\) | \(-3261064466/1917027\) | \(-461898361903104\) | \([]\) | \(115200\) | \(1.5164\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27048l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 27048l do not have complex multiplication.Modular form 27048.2.a.l
sage: E.q_eigenform(10)