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SageMath
E = EllipticCurve("ep1")
E.isogeny_class()
Elliptic curves in class 93600ep
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93600.l1 | 93600ep1 | \([0, 0, 0, 2805, -461810]\) | \(261568120/10024911\) | \(-93544449523200\) | \([]\) | \(207360\) | \(1.3607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600ep1 has rank \(2\).
Complex multiplication
The elliptic curves in class 93600ep do not have complex multiplication.Modular form 93600.2.a.ep
sage: E.q_eigenform(10)