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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 302330e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.e1 | 302330e1 | \([1, 0, 1, -173, -1032]\) | \(-236513641/49360\) | \(-118513360\) | \([]\) | \(133440\) | \(0.27101\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 302330e do not have complex multiplication.Modular form 302330.2.a.e
sage: E.q_eigenform(10)