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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 97461e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97461.h1 | 97461e1 | \([0, 0, 1, -23079, -1194804]\) | \(776703004672/97144749\) | \(170035271372421\) | \([]\) | \(677376\) | \(1.4602\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97461e do not have complex multiplication.Modular form 97461.2.a.e
sage: E.q_eigenform(10)