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SageMath
E = EllipticCurve("eb1")
E.isogeny_class()
Elliptic curves in class 297024.eb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
297024.eb1 | 297024eb1 | \([0, 1, 0, -57, 2421]\) | \(-325660672/40000779\) | \(-2560049856\) | \([]\) | \(176640\) | \(0.48473\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 297024.eb1 has rank \(2\).
Complex multiplication
The elliptic curves in class 297024.eb do not have complex multiplication.Modular form 297024.2.a.eb
sage: E.q_eigenform(10)