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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 93600ce
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93600.bw1 | 93600ce1 | \([0, 0, 0, -3000, -62800]\) | \(1600000/13\) | \(24261120000\) | \([]\) | \(103680\) | \(0.81955\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600ce1 has rank \(1\).
Complex multiplication
The elliptic curves in class 93600ce do not have complex multiplication.Modular form 93600.2.a.ce
sage: E.q_eigenform(10)