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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 388311.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388311.e1 | 388311e1 | \([1, 0, 0, -23073441, 42800730462]\) | \(-285994494781134049/1111953921309\) | \(-5281897037406461171469\) | \([]\) | \(24837120\) | \(3.0264\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388311.e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 388311.e do not have complex multiplication.Modular form 388311.2.a.e
sage: E.q_eigenform(10)