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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 48510e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
48510.m1 | 48510e1 | \([1, -1, 0, -7170, -263404]\) | \(-42269574627/7040000\) | \(-6789847680000\) | \([]\) | \(161280\) | \(1.1893\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48510e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 48510e do not have complex multiplication.Modular form 48510.2.a.e
sage: E.q_eigenform(10)