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SageMath
E = EllipticCurve("eb1")
E.isogeny_class()
Elliptic curves in class 93600.eb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93600.eb1 | 93600fc1 | \([0, 0, 0, -300, 876800]\) | \(-1600/177957\) | \(-332110471680000\) | \([]\) | \(368640\) | \(1.4653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600.eb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93600.eb do not have complex multiplication.Modular form 93600.2.a.eb
sage: E.q_eigenform(10)