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SageMath
E = EllipticCurve("iv1")
E.isogeny_class()
Elliptic curves in class 78400.iv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.iv1 | 78400bj1 | \([0, 1, 0, -12133, 511363]\) | \(-2249728/5\) | \(-439040000000\) | \([]\) | \(147456\) | \(1.1167\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.iv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400.iv do not have complex multiplication.Modular form 78400.2.a.iv
sage: E.q_eigenform(10)