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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 1748.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1748.c1 | 1748a1 | \([0, -1, 0, -90, 361]\) | \(-5095042816/8303\) | \(-132848\) | \([]\) | \(360\) | \(-0.12011\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1748.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1748.c do not have complex multiplication.Modular form 1748.2.a.c
sage: E.q_eigenform(10)