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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 310464.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.i1 | 310464i1 | \([0, 0, 0, -26607, 1695400]\) | \(-18595667776/323433\) | \(-36231306205248\) | \([]\) | \(1658880\) | \(1.3994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464.i do not have complex multiplication.Modular form 310464.2.a.i
sage: E.q_eigenform(10)