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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 23400e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23400.g1 | 23400e1 | \([0, 0, 0, -300, 4500]\) | \(-27648/65\) | \(-7020000000\) | \([]\) | \(15360\) | \(0.57762\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23400e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 23400e do not have complex multiplication.Modular form 23400.2.a.e
sage: E.q_eigenform(10)