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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 213444.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213444.e1 | 213444b1 | \([0, 0, 0, -10956792, 13960779140]\) | \(-30908416/3\) | \(-14119472429007821568\) | \([]\) | \(10378368\) | \(2.7103\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213444.e do not have complex multiplication.Modular form 213444.2.a.e
sage: E.q_eigenform(10)