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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 101478.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101478.e1 | 101478e1 | \([1, 1, 1, 26, -109]\) | \(1939096223/7306416\) | \(-7306416\) | \([]\) | \(19392\) | \(-0.00016127\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101478.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101478.e do not have complex multiplication.Modular form 101478.2.a.e
sage: E.q_eigenform(10)