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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 148120p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
148120.bg1 | 148120p1 | \([0, 1, 0, -15, 650]\) | \(-47104/21875\) | \(-185150000\) | \([]\) | \(46080\) | \(0.26550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148120p1 has rank \(2\).
Complex multiplication
The elliptic curves in class 148120p do not have complex multiplication.Modular form 148120.2.a.p
sage: E.q_eigenform(10)